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Finding the Fourth Proportional to 3,123.87, 4,311.15 and 1,726.62

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Solution

The fourth proportional to 3,123.87, 4,311.15 and 1,726.62 is: 2,382.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,123.87 : 4,311.15 = 1,726.62 : x
  2. Step 2: Convert to fraction form
    3,123.87/4,311.15 = 1,726.62/x
  3. Step 3: Cross multiply
    3,123.87x = 4,311.15 × 1,726.62
  4. Step 4: Simplify right side
    3,123.87x = 7,443,717.81
  5. Step 5: Solve for x
    x = 7,443,717.81/3,123.87
  6. Step 6: Final answer
    x = 2,382.85

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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.