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Finding the Fourth Proportional to 1,567.28, 2,162.66 and 868.66

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Solution

The fourth proportional to 1,567.28, 2,162.66 and 868.66 is: 1,198.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,567.28 : 2,162.66 = 868.66 : x
  2. Step 2: Convert to fraction form
    1,567.28/2,162.66 = 868.66/x
  3. Step 3: Cross multiply
    1,567.28x = 2,162.66 × 868.66
  4. Step 4: Simplify right side
    1,567.28x = 1,878,606.49
  5. Step 5: Solve for x
    x = 1,878,606.49/1,567.28
  6. Step 6: Final answer
    x = 1,198.64

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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.