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Finding the Fourth Proportional to 2,001.19, 3,001.57 and 614.55

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Solution

The fourth proportional to 2,001.19, 3,001.57 and 614.55 is: 921.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,001.19 : 3,001.57 = 614.55 : x
  2. Step 2: Convert to fraction form
    2,001.19/3,001.57 = 614.55/x
  3. Step 3: Cross multiply
    2,001.19x = 3,001.57 × 614.55
  4. Step 4: Simplify right side
    2,001.19x = 1,844,614.84
  5. Step 5: Solve for x
    x = 1,844,614.84/2,001.19
  6. Step 6: Final answer
    x = 921.76

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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.