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Finding the Fourth Proportional to 2,472.64, 3,709.56 and 1,743.64

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Solution

The fourth proportional to 2,472.64, 3,709.56 and 1,743.64 is: 2,615.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,472.64 : 3,709.56 = 1,743.64 : x
  2. Step 2: Convert to fraction form
    2,472.64/3,709.56 = 1,743.64/x
  3. Step 3: Cross multiply
    2,472.64x = 3,709.56 × 1,743.64
  4. Step 4: Simplify right side
    2,472.64x = 6,468,134.46
  5. Step 5: Solve for x
    x = 6,468,134.46/2,472.64
  6. Step 6: Final answer
    x = 2,615.88

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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.