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Finding the Fourth Proportional to 2,432.81, 3,354.25 and 2,029.21

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Solution

The fourth proportional to 2,432.81, 3,354.25 and 2,029.21 is: 2,797.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,432.81 : 3,354.25 = 2,029.21 : x
  2. Step 2: Convert to fraction form
    2,432.81/3,354.25 = 2,029.21/x
  3. Step 3: Cross multiply
    2,432.81x = 3,354.25 × 2,029.21
  4. Step 4: Simplify right side
    2,432.81x = 6,806,480.96
  5. Step 5: Solve for x
    x = 6,806,480.96/2,432.81
  6. Step 6: Final answer
    x = 2,797.79

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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.