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Finding the Fourth Proportional to 3,489.85, 4,815.45 and 2,232.03

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Solution

The fourth proportional to 3,489.85, 4,815.45 and 2,232.03 is: 3,079.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,489.85 : 4,815.45 = 2,232.03 : x
  2. Step 2: Convert to fraction form
    3,489.85/4,815.45 = 2,232.03/x
  3. Step 3: Cross multiply
    3,489.85x = 4,815.45 × 2,232.03
  4. Step 4: Simplify right side
    3,489.85x = 10,748,228.86
  5. Step 5: Solve for x
    x = 10,748,228.86/3,489.85
  6. Step 6: Final answer
    x = 3,079.85

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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.