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Finding the Fourth Proportional to 2,674.44, 4,011.93 and 726.78

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Solution

The fourth proportional to 2,674.44, 4,011.93 and 726.78 is: 1,090.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,674.44 : 4,011.93 = 726.78 : x
  2. Step 2: Convert to fraction form
    2,674.44/4,011.93 = 726.78/x
  3. Step 3: Cross multiply
    2,674.44x = 4,011.93 × 726.78
  4. Step 4: Simplify right side
    2,674.44x = 2,915,790.49
  5. Step 5: Solve for x
    x = 2,915,790.49/2,674.44
  6. Step 6: Final answer
    x = 1,090.24

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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.