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Finding the Fourth Proportional to 1,566.62, 2,161.83 and 867.98

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Solution

The fourth proportional to 1,566.62, 2,161.83 and 867.98 is: 1,197.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,566.62 : 2,161.83 = 867.98 : x
  2. Step 2: Convert to fraction form
    1,566.62/2,161.83 = 867.98/x
  3. Step 3: Cross multiply
    1,566.62x = 2,161.83 × 867.98
  4. Step 4: Simplify right side
    1,566.62x = 1,876,425.20
  5. Step 5: Solve for x
    x = 1,876,425.20/1,566.62
  6. Step 6: Final answer
    x = 1,197.75

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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.