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Finding the Fourth Proportional to 2,472.34, 3,706.76 and 1,238.87

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Solution

The fourth proportional to 2,472.34, 3,706.76 and 1,238.87 is: 1,857.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,472.34 : 3,706.76 = 1,238.87 : x
  2. Step 2: Convert to fraction form
    2,472.34/3,706.76 = 1,238.87/x
  3. Step 3: Cross multiply
    2,472.34x = 3,706.76 × 1,238.87
  4. Step 4: Simplify right side
    2,472.34x = 4,592,193.76
  5. Step 5: Solve for x
    x = 4,592,193.76/2,472.34
  6. Step 6: Final answer
    x = 1,857.43

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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.