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Finding the Fourth Proportional to 3,217.28, 4,439.76 and 1,820

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Solution

The fourth proportional to 3,217.28, 4,439.76 and 1,820 is: 2,511.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,217.28 : 4,439.76 = 1,820 : x
  2. Step 2: Convert to fraction form
    3,217.28/4,439.76 = 1,820/x
  3. Step 3: Cross multiply
    3,217.28x = 4,439.76 × 1,820
  4. Step 4: Simplify right side
    3,217.28x = 8,080,363.20
  5. Step 5: Solve for x
    x = 8,080,363.20/3,217.28
  6. Step 6: Final answer
    x = 2,511.55

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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.