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Finding the Fourth Proportional to 2,001.45, 3,002.56 and 614.54

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Solution

The fourth proportional to 2,001.45, 3,002.56 and 614.54 is: 921.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,001.45 : 3,002.56 = 614.54 : x
  2. Step 2: Convert to fraction form
    2,001.45/3,002.56 = 614.54/x
  3. Step 3: Cross multiply
    2,001.45x = 3,002.56 × 614.54
  4. Step 4: Simplify right side
    2,001.45x = 1,845,175.14
  5. Step 5: Solve for x
    x = 1,845,175.14/2,001.45
  6. Step 6: Final answer
    x = 921.92

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