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Finding the Fourth Proportional to 2,280.27, 3,402.96 and 2,034.21

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Solution

The fourth proportional to 2,280.27, 3,402.96 and 2,034.21 is: 3,035.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,280.27 : 3,402.96 = 2,034.21 : x
  2. Step 2: Convert to fraction form
    2,280.27/3,402.96 = 2,034.21/x
  3. Step 3: Cross multiply
    2,280.27x = 3,402.96 × 2,034.21
  4. Step 4: Simplify right side
    2,280.27x = 6,922,335.26
  5. Step 5: Solve for x
    x = 6,922,335.26/2,280.27
  6. Step 6: Final answer
    x = 3,035.75

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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.