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Finding the Fourth Proportional to 2,428.56, 3,659.09 and 2,197.71

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Solution

The fourth proportional to 2,428.56, 3,659.09 and 2,197.71 is: 3,311.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,428.56 : 3,659.09 = 2,197.71 : x
  2. Step 2: Convert to fraction form
    2,428.56/3,659.09 = 2,197.71/x
  3. Step 3: Cross multiply
    2,428.56x = 3,659.09 × 2,197.71
  4. Step 4: Simplify right side
    2,428.56x = 8,041,607.70
  5. Step 5: Solve for x
    x = 8,041,607.70/2,428.56
  6. Step 6: Final answer
    x = 3,311.27

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.