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Finding the Fourth Proportional to 2,452.74, 3,382.46 and 1,567

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Solution

The fourth proportional to 2,452.74, 3,382.46 and 1,567 is: 2,160.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,452.74 : 3,382.46 = 1,567 : x
  2. Step 2: Convert to fraction form
    2,452.74/3,382.46 = 1,567/x
  3. Step 3: Cross multiply
    2,452.74x = 3,382.46 × 1,567
  4. Step 4: Simplify right side
    2,452.74x = 5,300,306.99
  5. Step 5: Solve for x
    x = 5,300,306.99/2,452.74
  6. Step 6: Final answer
    x = 2,160.98

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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.