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Finding the Fourth Proportional to 2,428.57, 3,355.09 and 1,591.27

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Solution

The fourth proportional to 2,428.57, 3,355.09 and 1,591.27 is: 2,198.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,428.57 : 3,355.09 = 1,591.27 : x
  2. Step 2: Convert to fraction form
    2,428.57/3,355.09 = 1,591.27/x
  3. Step 3: Cross multiply
    2,428.57x = 3,355.09 × 1,591.27
  4. Step 4: Simplify right side
    2,428.57x = 5,338,854.06
  5. Step 5: Solve for x
    x = 5,338,854.06/2,428.57
  6. Step 6: Final answer
    x = 2,198.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.