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Finding the Fourth Proportional to 1,415.97, 2,125.31 and 869.22

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Solution

The fourth proportional to 1,415.97, 2,125.31 and 869.22 is: 1,304.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,415.97 : 2,125.31 = 869.22 : x
  2. Step 2: Convert to fraction form
    1,415.97/2,125.31 = 869.22/x
  3. Step 3: Cross multiply
    1,415.97x = 2,125.31 × 869.22
  4. Step 4: Simplify right side
    1,415.97x = 1,847,357.61
  5. Step 5: Solve for x
    x = 1,847,357.61/1,415.97
  6. Step 6: Final answer
    x = 1,304.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.