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Finding the Fourth Proportional to 3,428.80, 5,143.74 and 1,454.42

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Solution

The fourth proportional to 3,428.80, 5,143.74 and 1,454.42 is: 2,181.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,428.80 : 5,143.74 = 1,454.42 : x
  2. Step 2: Convert to fraction form
    3,428.80/5,143.74 = 1,454.42/x
  3. Step 3: Cross multiply
    3,428.80x = 5,143.74 × 1,454.42
  4. Step 4: Simplify right side
    3,428.80x = 7,481,165.74
  5. Step 5: Solve for x
    x = 7,481,165.74/3,428.80
  6. Step 6: Final answer
    x = 2,181.86

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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.