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Finding the Fourth Proportional to 1,765.84, 2,649.06 and 726.41

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Solution

The fourth proportional to 1,765.84, 2,649.06 and 726.41 is: 1,089.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,765.84 : 2,649.06 = 726.41 : x
  2. Step 2: Convert to fraction form
    1,765.84/2,649.06 = 726.41/x
  3. Step 3: Cross multiply
    1,765.84x = 2,649.06 × 726.41
  4. Step 4: Simplify right side
    1,765.84x = 1,924,290.43
  5. Step 5: Solve for x
    x = 1,924,290.43/1,765.84
  6. Step 6: Final answer
    x = 1,089.73

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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.