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Finding the Fourth Proportional to 1,729.81, 2,593.10 and 851.97

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Solution

The fourth proportional to 1,729.81, 2,593.10 and 851.97 is: 1,277.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,729.81 : 2,593.10 = 851.97 : x
  2. Step 2: Convert to fraction form
    1,729.81/2,593.10 = 851.97/x
  3. Step 3: Cross multiply
    1,729.81x = 2,593.10 × 851.97
  4. Step 4: Simplify right side
    1,729.81x = 2,209,248.87
  5. Step 5: Solve for x
    x = 2,209,248.87/1,729.81
  6. Step 6: Final answer
    x = 1,277.16

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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.