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Finding the Fourth Proportional to 2,657.92, 3,983.04 and 1,744

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Solution

The fourth proportional to 2,657.92, 3,983.04 and 1,744 is: 2,613.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,657.92 : 3,983.04 = 1,744 : x
  2. Step 2: Convert to fraction form
    2,657.92/3,983.04 = 1,744/x
  3. Step 3: Cross multiply
    2,657.92x = 3,983.04 × 1,744
  4. Step 4: Simplify right side
    2,657.92x = 6,946,421.76
  5. Step 5: Solve for x
    x = 6,946,421.76/2,657.92
  6. Step 6: Final answer
    x = 2,613.48

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Why These Related Problems?

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