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Finding the Fourth Proportional to 2,000.73, 3,001.53 and 768.14

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Solution

The fourth proportional to 2,000.73, 3,001.53 and 768.14 is: 1,152.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,000.73 : 3,001.53 = 768.14 : x
  2. Step 2: Convert to fraction form
    2,000.73/3,001.53 = 768.14/x
  3. Step 3: Cross multiply
    2,000.73x = 3,001.53 × 768.14
  4. Step 4: Simplify right side
    2,000.73x = 2,305,594.38
  5. Step 5: Solve for x
    x = 2,305,594.38/2,000.73
  6. Step 6: Final answer
    x = 1,152.38

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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.