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Finding the Fourth Proportional to 2,472.78, 3,709.80 and 1,743.78

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Solution

The fourth proportional to 2,472.78, 3,709.80 and 1,743.78 is: 2,616.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,472.78 : 3,709.80 = 1,743.78 : x
  2. Step 2: Convert to fraction form
    2,472.78/3,709.80 = 1,743.78/x
  3. Step 3: Cross multiply
    2,472.78x = 3,709.80 × 1,743.78
  4. Step 4: Simplify right side
    2,472.78x = 6,469,068.09
  5. Step 5: Solve for x
    x = 6,469,068.09/2,472.78
  6. Step 6: Final answer
    x = 2,616.11

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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.