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Finding the Fourth Proportional to 1,566.91, 2,162.40 and 868.29

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Solution

The fourth proportional to 1,566.91, 2,162.40 and 868.29 is: 1,198.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,566.91 : 2,162.40 = 868.29 : x
  2. Step 2: Convert to fraction form
    1,566.91/2,162.40 = 868.29/x
  3. Step 3: Cross multiply
    1,566.91x = 2,162.40 × 868.29
  4. Step 4: Simplify right side
    1,566.91x = 1,877,590.30
  5. Step 5: Solve for x
    x = 1,877,590.30/1,566.91
  6. Step 6: Final answer
    x = 1,198.28

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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.