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Finding the Fourth Proportional to 2,472.41, 3,709.85 and 1,156.26

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Solution

The fourth proportional to 2,472.41, 3,709.85 and 1,156.26 is: 1,734.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,472.41 : 3,709.85 = 1,156.26 : x
  2. Step 2: Convert to fraction form
    2,472.41/3,709.85 = 1,156.26/x
  3. Step 3: Cross multiply
    2,472.41x = 3,709.85 × 1,156.26
  4. Step 4: Simplify right side
    2,472.41x = 4,289,545.38
  5. Step 5: Solve for x
    x = 4,289,545.38/2,472.41
  6. Step 6: Final answer
    x = 1,734.96

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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.