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Finding the Fourth Proportional to 2,291.15, 3,436.57 and 731.09

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Solution

The fourth proportional to 2,291.15, 3,436.57 and 731.09 is: 1,096.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,291.15 : 3,436.57 = 731.09 : x
  2. Step 2: Convert to fraction form
    2,291.15/3,436.57 = 731.09/x
  3. Step 3: Cross multiply
    2,291.15x = 3,436.57 × 731.09
  4. Step 4: Simplify right side
    2,291.15x = 2,512,448.72
  5. Step 5: Solve for x
    x = 2,512,448.72/2,291.15
  6. Step 6: Final answer
    x = 1,096.59

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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.