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Finding the Fourth Proportional to 1,979.34, 2,743.98 and 1,874

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Solution

The fourth proportional to 1,979.34, 2,743.98 and 1,874 is: 2,597.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,979.34 : 2,743.98 = 1,874 : x
  2. Step 2: Convert to fraction form
    1,979.34/2,743.98 = 1,874/x
  3. Step 3: Cross multiply
    1,979.34x = 2,743.98 × 1,874
  4. Step 4: Simplify right side
    1,979.34x = 5,142,218.52
  5. Step 5: Solve for x
    x = 5,142,218.52/1,979.34
  6. Step 6: Final answer
    x = 2,597.95

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.