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Finding the Fourth Proportional to 1,567, 2,162.32 and 868.40

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Solution

The fourth proportional to 1,567, 2,162.32 and 868.40 is: 1,198.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,567 : 2,162.32 = 868.40 : x
  2. Step 2: Convert to fraction form
    1,567/2,162.32 = 868.40/x
  3. Step 3: Cross multiply
    1,567x = 2,162.32 × 868.40
  4. Step 4: Simplify right side
    1,567x = 1,877,758.69
  5. Step 5: Solve for x
    x = 1,877,758.69/1,567
  6. Step 6: Final answer
    x = 1,198.31

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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.