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Finding the Fourth Proportional to 2,281.95, 3,149.24 and 1,721.43

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Solution

The fourth proportional to 2,281.95, 3,149.24 and 1,721.43 is: 2,375.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,281.95 : 3,149.24 = 1,721.43 : x
  2. Step 2: Convert to fraction form
    2,281.95/3,149.24 = 1,721.43/x
  3. Step 3: Cross multiply
    2,281.95x = 3,149.24 × 1,721.43
  4. Step 4: Simplify right side
    2,281.95x = 5,421,187.61
  5. Step 5: Solve for x
    x = 5,421,187.61/2,281.95
  6. Step 6: Final answer
    x = 2,375.68

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