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Finding the Fourth Proportional to 1,744.49, 2,620.49 and 1,095.68

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Solution

The fourth proportional to 1,744.49, 2,620.49 and 1,095.68 is: 1,645.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,744.49 : 2,620.49 = 1,095.68 : x
  2. Step 2: Convert to fraction form
    1,744.49/2,620.49 = 1,095.68/x
  3. Step 3: Cross multiply
    1,744.49x = 2,620.49 × 1,095.68
  4. Step 4: Simplify right side
    1,744.49x = 2,871,219.56
  5. Step 5: Solve for x
    x = 2,871,219.56/1,744.49
  6. Step 6: Final answer
    x = 1,645.88

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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.