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Finding the Fourth Proportional to 1,569.62, 2,166.11 and 861.53

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Solution

The fourth proportional to 1,569.62, 2,166.11 and 861.53 is: 1,188.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,569.62 : 2,166.11 = 861.53 : x
  2. Step 2: Convert to fraction form
    1,569.62/2,166.11 = 861.53/x
  3. Step 3: Cross multiply
    1,569.62x = 2,166.11 × 861.53
  4. Step 4: Simplify right side
    1,569.62x = 1,866,169.86
  5. Step 5: Solve for x
    x = 1,866,169.86/1,569.62
  6. Step 6: Final answer
    x = 1,188.93

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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.