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Finding the Fourth Proportional to 2,001.60, 3,002.72 and 614.79

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Solution

The fourth proportional to 2,001.60, 3,002.72 and 614.79 is: 922.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,001.60 : 3,002.72 = 614.79 : x
  2. Step 2: Convert to fraction form
    2,001.60/3,002.72 = 614.79/x
  3. Step 3: Cross multiply
    2,001.60x = 3,002.72 × 614.79
  4. Step 4: Simplify right side
    2,001.60x = 1,846,039.15
  5. Step 5: Solve for x
    x = 1,846,039.15/2,001.60
  6. Step 6: Final answer
    x = 922.28

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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.