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Finding the Fourth Proportional to 2,534.49, 3,498.89 and 1,591.65

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Solution

The fourth proportional to 2,534.49, 3,498.89 and 1,591.65 is: 2,197.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,534.49 : 3,498.89 = 1,591.65 : x
  2. Step 2: Convert to fraction form
    2,534.49/3,498.89 = 1,591.65/x
  3. Step 3: Cross multiply
    2,534.49x = 3,498.89 × 1,591.65
  4. Step 4: Simplify right side
    2,534.49x = 5,569,000.31
  5. Step 5: Solve for x
    x = 5,569,000.31/2,534.49
  6. Step 6: Final answer
    x = 2,197.29

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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.