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Finding the Fourth Proportional to 2,597.40, 3,891.49 and 1,979.24

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Solution

The fourth proportional to 2,597.40, 3,891.49 and 1,979.24 is: 2,965.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,597.40 : 3,891.49 = 1,979.24 : x
  2. Step 2: Convert to fraction form
    2,597.40/3,891.49 = 1,979.24/x
  3. Step 3: Cross multiply
    2,597.40x = 3,891.49 × 1,979.24
  4. Step 4: Simplify right side
    2,597.40x = 7,702,179.40
  5. Step 5: Solve for x
    x = 7,702,179.40/2,597.40
  6. Step 6: Final answer
    x = 2,965.34

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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.