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Finding the Fourth Proportional to 1,642.26, 2,463.74 and 531.74

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Solution

The fourth proportional to 1,642.26, 2,463.74 and 531.74 is: 797.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,642.26 : 2,463.74 = 531.74 : x
  2. Step 2: Convert to fraction form
    1,642.26/2,463.74 = 531.74/x
  3. Step 3: Cross multiply
    1,642.26x = 2,463.74 × 531.74
  4. Step 4: Simplify right side
    1,642.26x = 1,310,063.73
  5. Step 5: Solve for x
    x = 1,310,063.73/1,642.26
  6. Step 6: Final answer
    x = 797.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.