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Finding the Fourth Proportional to 2,674.52, 4,011.54 and 726.80

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Solution

The fourth proportional to 2,674.52, 4,011.54 and 726.80 is: 1,090.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,674.52 : 4,011.54 = 726.80 : x
  2. Step 2: Convert to fraction form
    2,674.52/4,011.54 = 726.80/x
  3. Step 3: Cross multiply
    2,674.52x = 4,011.54 × 726.80
  4. Step 4: Simplify right side
    2,674.52x = 2,915,587.27
  5. Step 5: Solve for x
    x = 2,915,587.27/2,674.52
  6. Step 6: Final answer
    x = 1,090.13

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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.