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Finding the Fourth Proportional to 2,591.09, 3,866.74 and 2,314.27

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Solution

The fourth proportional to 2,591.09, 3,866.74 and 2,314.27 is: 3,453.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,591.09 : 3,866.74 = 2,314.27 : x
  2. Step 2: Convert to fraction form
    2,591.09/3,866.74 = 2,314.27/x
  3. Step 3: Cross multiply
    2,591.09x = 3,866.74 × 2,314.27
  4. Step 4: Simplify right side
    2,591.09x = 8,948,679.43
  5. Step 5: Solve for x
    x = 8,948,679.43/2,591.09
  6. Step 6: Final answer
    x = 3,453.64

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.