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Finding the Fourth Proportional to 1,979.38, 2,968.75 and 1,087.71

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Solution

The fourth proportional to 1,979.38, 2,968.75 and 1,087.71 is: 1,631.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,979.38 : 2,968.75 = 1,087.71 : x
  2. Step 2: Convert to fraction form
    1,979.38/2,968.75 = 1,087.71/x
  3. Step 3: Cross multiply
    1,979.38x = 2,968.75 × 1,087.71
  4. Step 4: Simplify right side
    1,979.38x = 3,229,139.06
  5. Step 5: Solve for x
    x = 3,229,139.06/1,979.38
  6. Step 6: Final answer
    x = 1,631.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.