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Finding the Fourth Proportional to 2,472.11, 3,709.61 and 913.20

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Solution

The fourth proportional to 2,472.11, 3,709.61 and 913.20 is: 1,370.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,472.11 : 3,709.61 = 913.20 : x
  2. Step 2: Convert to fraction form
    2,472.11/3,709.61 = 913.20/x
  3. Step 3: Cross multiply
    2,472.11x = 3,709.61 × 913.20
  4. Step 4: Simplify right side
    2,472.11x = 3,387,611.29
  5. Step 5: Solve for x
    x = 3,387,611.29/2,472.11
  6. Step 6: Final answer
    x = 1,370.33

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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.