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Finding the Fourth Proportional to 1,567.24, 2,162.80 and 868.64

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Solution

The fourth proportional to 1,567.24, 2,162.80 and 868.64 is: 1,198.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,567.24 : 2,162.80 = 868.64 : x
  2. Step 2: Convert to fraction form
    1,567.24/2,162.80 = 868.64/x
  3. Step 3: Cross multiply
    1,567.24x = 2,162.80 × 868.64
  4. Step 4: Simplify right side
    1,567.24x = 1,878,694.59
  5. Step 5: Solve for x
    x = 1,878,694.59/1,567.24
  6. Step 6: Final answer
    x = 1,198.73

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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.