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Finding the Fourth Proportional to 1,729.98, 2,387.39 and 944.06

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Solution

The fourth proportional to 1,729.98, 2,387.39 and 944.06 is: 1,302.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,729.98 : 2,387.39 = 944.06 : x
  2. Step 2: Convert to fraction form
    1,729.98/2,387.39 = 944.06/x
  3. Step 3: Cross multiply
    1,729.98x = 2,387.39 × 944.06
  4. Step 4: Simplify right side
    1,729.98x = 2,253,822.75
  5. Step 5: Solve for x
    x = 2,253,822.75/1,729.98
  6. Step 6: Final answer
    x = 1,302.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.