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Finding the Fourth Proportional to 2,542.32, 3,506.49 and 1,658.61

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Solution

The fourth proportional to 2,542.32, 3,506.49 and 1,658.61 is: 2,287.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,542.32 : 3,506.49 = 1,658.61 : x
  2. Step 2: Convert to fraction form
    2,542.32/3,506.49 = 1,658.61/x
  3. Step 3: Cross multiply
    2,542.32x = 3,506.49 × 1,658.61
  4. Step 4: Simplify right side
    2,542.32x = 5,815,899.38
  5. Step 5: Solve for x
    x = 5,815,899.38/2,542.32
  6. Step 6: Final answer
    x = 2,287.63

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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.