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Finding the Fourth Proportional to 3,123.66, 4,310.65 and 1,726.41

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Solution

The fourth proportional to 3,123.66, 4,310.65 and 1,726.41 is: 2,382.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,123.66 : 4,310.65 = 1,726.41 : x
  2. Step 2: Convert to fraction form
    3,123.66/4,310.65 = 1,726.41/x
  3. Step 3: Cross multiply
    3,123.66x = 4,310.65 × 1,726.41
  4. Step 4: Simplify right side
    3,123.66x = 7,441,944.95
  5. Step 5: Solve for x
    x = 7,441,944.95/3,123.66
  6. Step 6: Final answer
    x = 2,382.44

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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.