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Finding the Fourth Proportional to 2,291.31, 3,436.78 and 731.25

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Solution

The fourth proportional to 2,291.31, 3,436.78 and 731.25 is: 1,096.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,291.31 : 3,436.78 = 731.25 : x
  2. Step 2: Convert to fraction form
    2,291.31/3,436.78 = 731.25/x
  3. Step 3: Cross multiply
    2,291.31x = 3,436.78 × 731.25
  4. Step 4: Simplify right side
    2,291.31x = 2,513,145.38
  5. Step 5: Solve for x
    x = 2,513,145.38/2,291.31
  6. Step 6: Final answer
    x = 1,096.82

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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.