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Finding the Fourth Proportional to 1,744.76, 2,614.73 and 1,282.79

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Solution

The fourth proportional to 1,744.76, 2,614.73 and 1,282.79 is: 1,922.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,744.76 : 2,614.73 = 1,282.79 : x
  2. Step 2: Convert to fraction form
    1,744.76/2,614.73 = 1,282.79/x
  3. Step 3: Cross multiply
    1,744.76x = 2,614.73 × 1,282.79
  4. Step 4: Simplify right side
    1,744.76x = 3,354,130.01
  5. Step 5: Solve for x
    x = 3,354,130.01/1,744.76
  6. Step 6: Final answer
    x = 1,922.41

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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.