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Finding the Fourth Proportional to 2,743.29, 4,091.15 and 2,597.49

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Solution

The fourth proportional to 2,743.29, 4,091.15 and 2,597.49 is: 3,873.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,743.29 : 4,091.15 = 2,597.49 : x
  2. Step 2: Convert to fraction form
    2,743.29/4,091.15 = 2,597.49/x
  3. Step 3: Cross multiply
    2,743.29x = 4,091.15 × 2,597.49
  4. Step 4: Simplify right side
    2,743.29x = 10,626,727.71
  5. Step 5: Solve for x
    x = 10,626,727.71/2,743.29
  6. Step 6: Final answer
    x = 3,873.72

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.