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Finding the Fourth Proportional to 2,382.88, 3,270.84 and 2,115.04

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Solution

The fourth proportional to 2,382.88, 3,270.84 and 2,115.04 is: 2,903.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,382.88 : 3,270.84 = 2,115.04 : x
  2. Step 2: Convert to fraction form
    2,382.88/3,270.84 = 2,115.04/x
  3. Step 3: Cross multiply
    2,382.88x = 3,270.84 × 2,115.04
  4. Step 4: Simplify right side
    2,382.88x = 6,917,957.43
  5. Step 5: Solve for x
    x = 6,917,957.43/2,382.88
  6. Step 6: Final answer
    x = 2,903.19

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.