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Finding the Fourth Proportional to 2,721.25, 3,755.46 and 1,658.85

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Solution

The fourth proportional to 2,721.25, 3,755.46 and 1,658.85 is: 2,289.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,721.25 : 3,755.46 = 1,658.85 : x
  2. Step 2: Convert to fraction form
    2,721.25/3,755.46 = 1,658.85/x
  3. Step 3: Cross multiply
    2,721.25x = 3,755.46 × 1,658.85
  4. Step 4: Simplify right side
    2,721.25x = 6,229,744.82
  5. Step 5: Solve for x
    x = 6,229,744.82/2,721.25
  6. Step 6: Final answer
    x = 2,289.30

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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.