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Finding the Fourth Proportional to 2,280.96, 3,405.24 and 2,199.96

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Solution

The fourth proportional to 2,280.96, 3,405.24 and 2,199.96 is: 3,284.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,280.96 : 3,405.24 = 2,199.96 : x
  2. Step 2: Convert to fraction form
    2,280.96/3,405.24 = 2,199.96/x
  3. Step 3: Cross multiply
    2,280.96x = 3,405.24 × 2,199.96
  4. Step 4: Simplify right side
    2,280.96x = 7,491,391.79
  5. Step 5: Solve for x
    x = 7,491,391.79/2,280.96
  6. Step 6: Final answer
    x = 3,284.32

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.