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Finding the Fourth Proportional to 3,123.60, 4,310.40 and 1,726.32

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Solution

The fourth proportional to 3,123.60, 4,310.40 and 1,726.32 is: 2,382.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,123.60 : 4,310.40 = 1,726.32 : x
  2. Step 2: Convert to fraction form
    3,123.60/4,310.40 = 1,726.32/x
  3. Step 3: Cross multiply
    3,123.60x = 4,310.40 × 1,726.32
  4. Step 4: Simplify right side
    3,123.60x = 7,441,129.73
  5. Step 5: Solve for x
    x = 7,441,129.73/3,123.60
  6. Step 6: Final answer
    x = 2,382.23

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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.