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Finding the Fourth Proportional to 2,502.72, 3,754.96 and 1,117.04

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Solution

The fourth proportional to 2,502.72, 3,754.96 and 1,117.04 is: 1,675.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,502.72 : 3,754.96 = 1,117.04 : x
  2. Step 2: Convert to fraction form
    2,502.72/3,754.96 = 1,117.04/x
  3. Step 3: Cross multiply
    2,502.72x = 3,754.96 × 1,117.04
  4. Step 4: Simplify right side
    2,502.72x = 4,194,440.52
  5. Step 5: Solve for x
    x = 4,194,440.52/2,502.72
  6. Step 6: Final answer
    x = 1,675.95

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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.