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Finding the Fourth Proportional to 2,549.55, 3,826.17 and 906.11

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Solution

The fourth proportional to 2,549.55, 3,826.17 and 906.11 is: 1,359.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,549.55 : 3,826.17 = 906.11 : x
  2. Step 2: Convert to fraction form
    2,549.55/3,826.17 = 906.11/x
  3. Step 3: Cross multiply
    2,549.55x = 3,826.17 × 906.11
  4. Step 4: Simplify right side
    2,549.55x = 3,466,930.90
  5. Step 5: Solve for x
    x = 3,466,930.90/2,549.55
  6. Step 6: Final answer
    x = 1,359.82

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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.