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Finding the Fourth Proportional to 2,561.31, 3,841.02 and 917.46

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Solution

The fourth proportional to 2,561.31, 3,841.02 and 917.46 is: 1,375.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,561.31 : 3,841.02 = 917.46 : x
  2. Step 2: Convert to fraction form
    2,561.31/3,841.02 = 917.46/x
  3. Step 3: Cross multiply
    2,561.31x = 3,841.02 × 917.46
  4. Step 4: Simplify right side
    2,561.31x = 3,523,982.21
  5. Step 5: Solve for x
    x = 3,523,982.21/2,561.31
  6. Step 6: Final answer
    x = 1,375.85

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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.