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Finding the Fourth Proportional to 2,000.77, 3,001.15 and 768.76

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Solution

The fourth proportional to 2,000.77, 3,001.15 and 768.76 is: 1,153.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,000.77 : 3,001.15 = 768.76 : x
  2. Step 2: Convert to fraction form
    2,000.77/3,001.15 = 768.76/x
  3. Step 3: Cross multiply
    2,000.77x = 3,001.15 × 768.76
  4. Step 4: Simplify right side
    2,000.77x = 2,307,157.53
  5. Step 5: Solve for x
    x = 2,307,157.53/2,000.77
  6. Step 6: Final answer
    x = 1,153.14

Related Problems

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.