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Finding the Fourth Proportional to 2,258.28, 3,387.02 and 614.61

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Solution

The fourth proportional to 2,258.28, 3,387.02 and 614.61 is: 921.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,258.28 : 3,387.02 = 614.61 : x
  2. Step 2: Convert to fraction form
    2,258.28/3,387.02 = 614.61/x
  3. Step 3: Cross multiply
    2,258.28x = 3,387.02 × 614.61
  4. Step 4: Simplify right side
    2,258.28x = 2,081,696.36
  5. Step 5: Solve for x
    x = 2,081,696.36/2,258.28
  6. Step 6: Final answer
    x = 921.81

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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.