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Finding the Fourth Proportional to 2,000.86, 3,000.14 and 767.50

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Solution

The fourth proportional to 2,000.86, 3,000.14 and 767.50 is: 1,150.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,000.86 : 3,000.14 = 767.50 : x
  2. Step 2: Convert to fraction form
    2,000.86/3,000.14 = 767.50/x
  3. Step 3: Cross multiply
    2,000.86x = 3,000.14 × 767.50
  4. Step 4: Simplify right side
    2,000.86x = 2,302,607.45
  5. Step 5: Solve for x
    x = 2,302,607.45/2,000.86
  6. Step 6: Final answer
    x = 1,150.81

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Double scale
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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.