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Finding the Fourth Proportional to 3,398.43, 4,689.21 and 2,280.99

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Solution

The fourth proportional to 3,398.43, 4,689.21 and 2,280.99 is: 3,147.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,398.43 : 4,689.21 = 2,280.99 : x
  2. Step 2: Convert to fraction form
    3,398.43/4,689.21 = 2,280.99/x
  3. Step 3: Cross multiply
    3,398.43x = 4,689.21 × 2,280.99
  4. Step 4: Simplify right side
    3,398.43x = 10,696,041.12
  5. Step 5: Solve for x
    x = 10,696,041.12/3,398.43
  6. Step 6: Final answer
    x = 3,147.35

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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.