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Finding the Fourth Proportional to 2,478.53, 3,722.42 and 2,182.15

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Solution

The fourth proportional to 2,478.53, 3,722.42 and 2,182.15 is: 3,277.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,478.53 : 3,722.42 = 2,182.15 : x
  2. Step 2: Convert to fraction form
    2,478.53/3,722.42 = 2,182.15/x
  3. Step 3: Cross multiply
    2,478.53x = 3,722.42 × 2,182.15
  4. Step 4: Simplify right side
    2,478.53x = 8,122,878.80
  5. Step 5: Solve for x
    x = 8,122,878.80/2,478.53
  6. Step 6: Final answer
    x = 3,277.30

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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.