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Finding the Fourth Proportional to 1,531.69, 2,113.85 and 868.66

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Solution

The fourth proportional to 1,531.69, 2,113.85 and 868.66 is: 1,198.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,531.69 : 2,113.85 = 868.66 : x
  2. Step 2: Convert to fraction form
    1,531.69/2,113.85 = 868.66/x
  3. Step 3: Cross multiply
    1,531.69x = 2,113.85 × 868.66
  4. Step 4: Simplify right side
    1,531.69x = 1,836,216.94
  5. Step 5: Solve for x
    x = 1,836,216.94/1,531.69
  6. Step 6: Final answer
    x = 1,198.82

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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.