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Finding the Fourth Proportional to 2,143.97, 3,215.20 and 1,454.43

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Solution

The fourth proportional to 2,143.97, 3,215.20 and 1,454.43 is: 2,181.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,143.97 : 3,215.20 = 1,454.43 : x
  2. Step 2: Convert to fraction form
    2,143.97/3,215.20 = 1,454.43/x
  3. Step 3: Cross multiply
    2,143.97x = 3,215.20 × 1,454.43
  4. Step 4: Simplify right side
    2,143.97x = 4,676,283.34
  5. Step 5: Solve for x
    x = 4,676,283.34/2,143.97
  6. Step 6: Final answer
    x = 2,181.13

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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.