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Finding the Fourth Proportional to 2,428.57, 3,350.32 and 2,149.12

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Solution

The fourth proportional to 2,428.57, 3,350.32 and 2,149.12 is: 2,964.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,428.57 : 3,350.32 = 2,149.12 : x
  2. Step 2: Convert to fraction form
    2,428.57/3,350.32 = 2,149.12/x
  3. Step 3: Cross multiply
    2,428.57x = 3,350.32 × 2,149.12
  4. Step 4: Simplify right side
    2,428.57x = 7,200,239.72
  5. Step 5: Solve for x
    x = 7,200,239.72/2,428.57
  6. Step 6: Final answer
    x = 2,964.81

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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.