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Finding the Fourth Proportional to 3,123.25, 4,310.19 and 1,726.09

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Solution

The fourth proportional to 3,123.25, 4,310.19 and 1,726.09 is: 2,382.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,123.25 : 4,310.19 = 1,726.09 : x
  2. Step 2: Convert to fraction form
    3,123.25/4,310.19 = 1,726.09/x
  3. Step 3: Cross multiply
    3,123.25x = 4,310.19 × 1,726.09
  4. Step 4: Simplify right side
    3,123.25x = 7,439,775.86
  5. Step 5: Solve for x
    x = 7,439,775.86/3,123.25
  6. Step 6: Final answer
    x = 2,382.06

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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.