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Finding the Fourth Proportional to 2,474.72, 3,713.96 and 916.20

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Solution

The fourth proportional to 2,474.72, 3,713.96 and 916.20 is: 1,375.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,474.72 : 3,713.96 = 916.20 : x
  2. Step 2: Convert to fraction form
    2,474.72/3,713.96 = 916.20/x
  3. Step 3: Cross multiply
    2,474.72x = 3,713.96 × 916.20
  4. Step 4: Simplify right side
    2,474.72x = 3,402,730.15
  5. Step 5: Solve for x
    x = 3,402,730.15/2,474.72
  6. Step 6: Final answer
    x = 1,375.00

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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.