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Finding the Fourth Proportional to 1,549.76, 2,321.00 and 726.26

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Solution

The fourth proportional to 1,549.76, 2,321.00 and 726.26 is: 1,087.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,549.76 : 2,321.00 = 726.26 : x
  2. Step 2: Convert to fraction form
    1,549.76/2,321.00 = 726.26/x
  3. Step 3: Cross multiply
    1,549.76x = 2,321.00 × 726.26
  4. Step 4: Simplify right side
    1,549.76x = 1,685,645.83
  5. Step 5: Solve for x
    x = 1,685,645.83/1,549.76
  6. Step 6: Final answer
    x = 1,087.68

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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.