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Finding the Fourth Proportional to 2,472.08, 3,706.68 and 931.28

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Solution

The fourth proportional to 2,472.08, 3,706.68 and 931.28 is: 1,396.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,472.08 : 3,706.68 = 931.28 : x
  2. Step 2: Convert to fraction form
    2,472.08/3,706.68 = 931.28/x
  3. Step 3: Cross multiply
    2,472.08x = 3,706.68 × 931.28
  4. Step 4: Simplify right side
    2,472.08x = 3,451,956.95
  5. Step 5: Solve for x
    x = 3,451,956.95/2,472.08
  6. Step 6: Final answer
    x = 1,396.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.