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Finding the Fourth Proportional to 3,123.52, 4,310.72 and 1,726.56

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Solution

The fourth proportional to 3,123.52, 4,310.72 and 1,726.56 is: 2,382.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,123.52 : 4,310.72 = 1,726.56 : x
  2. Step 2: Convert to fraction form
    3,123.52/4,310.72 = 1,726.56/x
  3. Step 3: Cross multiply
    3,123.52x = 4,310.72 × 1,726.56
  4. Step 4: Simplify right side
    3,123.52x = 7,442,716.72
  5. Step 5: Solve for x
    x = 7,442,716.72/3,123.52
  6. Step 6: Final answer
    x = 2,382.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.