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Finding the Fourth Proportional to 2,258.30, 3,387.49 and 615.02

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Solution

The fourth proportional to 2,258.30, 3,387.49 and 615.02 is: 922.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,258.30 : 3,387.49 = 615.02 : x
  2. Step 2: Convert to fraction form
    2,258.30/3,387.49 = 615.02/x
  3. Step 3: Cross multiply
    2,258.30x = 3,387.49 × 615.02
  4. Step 4: Simplify right side
    2,258.30x = 2,083,355.62
  5. Step 5: Solve for x
    x = 2,083,355.62/2,258.30
  6. Step 6: Final answer
    x = 922.53

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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.