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Finding the Fourth Proportional to 1,566.48, 2,161.84 and 867.92

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Solution

The fourth proportional to 1,566.48, 2,161.84 and 867.92 is: 1,197.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,566.48 : 2,161.84 = 867.92 : x
  2. Step 2: Convert to fraction form
    1,566.48/2,161.84 = 867.92/x
  3. Step 3: Cross multiply
    1,566.48x = 2,161.84 × 867.92
  4. Step 4: Simplify right side
    1,566.48x = 1,876,304.17
  5. Step 5: Solve for x
    x = 1,876,304.17/1,566.48
  6. Step 6: Final answer
    x = 1,197.78

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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.