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Finding the Fourth Proportional to 2,449.28, 3,377.76 and 2,216

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Solution

The fourth proportional to 2,449.28, 3,377.76 and 2,216 is: 3,056.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,449.28 : 3,377.76 = 2,216 : x
  2. Step 2: Convert to fraction form
    2,449.28/3,377.76 = 2,216/x
  3. Step 3: Cross multiply
    2,449.28x = 3,377.76 × 2,216
  4. Step 4: Simplify right side
    2,449.28x = 7,485,116.16
  5. Step 5: Solve for x
    x = 7,485,116.16/2,449.28
  6. Step 6: Final answer
    x = 3,056.05

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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.