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Finding the Fourth Proportional to 1,567.16, 2,162.72 and 868.53

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Solution

The fourth proportional to 1,567.16, 2,162.72 and 868.53 is: 1,198.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,567.16 : 2,162.72 = 868.53 : x
  2. Step 2: Convert to fraction form
    1,567.16/2,162.72 = 868.53/x
  3. Step 3: Cross multiply
    1,567.16x = 2,162.72 × 868.53
  4. Step 4: Simplify right side
    1,567.16x = 1,878,397.48
  5. Step 5: Solve for x
    x = 1,878,397.48/1,567.16
  6. Step 6: Final answer
    x = 1,198.60

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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.