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Finding the Fourth Proportional to 2,726.19, 4,089.28 and 674.19

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Solution

The fourth proportional to 2,726.19, 4,089.28 and 674.19 is: 1,011.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,726.19 : 4,089.28 = 674.19 : x
  2. Step 2: Convert to fraction form
    2,726.19/4,089.28 = 674.19/x
  3. Step 3: Cross multiply
    2,726.19x = 4,089.28 × 674.19
  4. Step 4: Simplify right side
    2,726.19x = 2,756,951.68
  5. Step 5: Solve for x
    x = 2,756,951.68/2,726.19
  6. Step 6: Final answer
    x = 1,011.28

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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.