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Finding the Fourth Proportional to 1,567.25, 2,162.87 and 868.63

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Solution

The fourth proportional to 1,567.25, 2,162.87 and 868.63 is: 1,198.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,567.25 : 2,162.87 = 868.63 : x
  2. Step 2: Convert to fraction form
    1,567.25/2,162.87 = 868.63/x
  3. Step 3: Cross multiply
    1,567.25x = 2,162.87 × 868.63
  4. Step 4: Simplify right side
    1,567.25x = 1,878,733.77
  5. Step 5: Solve for x
    x = 1,878,733.77/1,567.25
  6. Step 6: Final answer
    x = 1,198.75

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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.