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Finding the Fourth Proportional to 3,101.38, 4,279.80 and 1,704.10

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Solution

The fourth proportional to 3,101.38, 4,279.80 and 1,704.10 is: 2,351.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,101.38 : 4,279.80 = 1,704.10 : x
  2. Step 2: Convert to fraction form
    3,101.38/4,279.80 = 1,704.10/x
  3. Step 3: Cross multiply
    3,101.38x = 4,279.80 × 1,704.10
  4. Step 4: Simplify right side
    3,101.38x = 7,293,207.18
  5. Step 5: Solve for x
    x = 7,293,207.18/3,101.38
  6. Step 6: Final answer
    x = 2,351.60

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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.