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Finding the Fourth Proportional to 2,284.72, 3,425.24 and 2,155.92

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Solution

The fourth proportional to 2,284.72, 3,425.24 and 2,155.92 is: 3,232.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,284.72 : 3,425.24 = 2,155.92 : x
  2. Step 2: Convert to fraction form
    2,284.72/3,425.24 = 2,155.92/x
  3. Step 3: Cross multiply
    2,284.72x = 3,425.24 × 2,155.92
  4. Step 4: Simplify right side
    2,284.72x = 7,384,543.42
  5. Step 5: Solve for x
    x = 7,384,543.42/2,284.72
  6. Step 6: Final answer
    x = 3,232.14

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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.