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Finding the Fourth Proportional to 3,080.22, 4,248.48 and 2,016

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Solution

The fourth proportional to 3,080.22, 4,248.48 and 2,016 is: 2,780.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,080.22 : 4,248.48 = 2,016 : x
  2. Step 2: Convert to fraction form
    3,080.22/4,248.48 = 2,016/x
  3. Step 3: Cross multiply
    3,080.22x = 4,248.48 × 2,016
  4. Step 4: Simplify right side
    3,080.22x = 8,564,935.68
  5. Step 5: Solve for x
    x = 8,564,935.68/3,080.22
  6. Step 6: Final answer
    x = 2,780.62

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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.