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Finding the Fourth Proportional to 3,239.44, 4,470 and 1,823.20

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Solution

The fourth proportional to 3,239.44, 4,470 and 1,823.20 is: 2,515.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,239.44 : 4,470 = 1,823.20 : x
  2. Step 2: Convert to fraction form
    3,239.44/4,470 = 1,823.20/x
  3. Step 3: Cross multiply
    3,239.44x = 4,470 × 1,823.20
  4. Step 4: Simplify right side
    3,239.44x = 8,149,704
  5. Step 5: Solve for x
    x = 8,149,704/3,239.44
  6. Step 6: Final answer
    x = 2,515.78

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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.