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Finding the Fourth Proportional to 1,387.31, 2,083.73 and 868.23

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Solution

The fourth proportional to 1,387.31, 2,083.73 and 868.23 is: 1,304.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,387.31 : 2,083.73 = 868.23 : x
  2. Step 2: Convert to fraction form
    1,387.31/2,083.73 = 868.23/x
  3. Step 3: Cross multiply
    1,387.31x = 2,083.73 × 868.23
  4. Step 4: Simplify right side
    1,387.31x = 1,809,152.56
  5. Step 5: Solve for x
    x = 1,809,152.56/1,387.31
  6. Step 6: Final answer
    x = 1,304.08

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