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Finding the Fourth Proportional to 1,531.42, 2,113.18 and 868.26

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Solution

The fourth proportional to 1,531.42, 2,113.18 and 868.26 is: 1,198.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,531.42 : 2,113.18 = 868.26 : x
  2. Step 2: Convert to fraction form
    1,531.42/2,113.18 = 868.26/x
  3. Step 3: Cross multiply
    1,531.42x = 2,113.18 × 868.26
  4. Step 4: Simplify right side
    1,531.42x = 1,834,789.67
  5. Step 5: Solve for x
    x = 1,834,789.67/1,531.42
  6. Step 6: Final answer
    x = 1,198.10

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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.