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Finding the Fourth Proportional to 3,101.42, 4,279.92 and 1,704.08

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Solution

The fourth proportional to 3,101.42, 4,279.92 and 1,704.08 is: 2,351.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,101.42 : 4,279.92 = 1,704.08 : x
  2. Step 2: Convert to fraction form
    3,101.42/4,279.92 = 1,704.08/x
  3. Step 3: Cross multiply
    3,101.42x = 4,279.92 × 1,704.08
  4. Step 4: Simplify right side
    3,101.42x = 7,293,326.07
  5. Step 5: Solve for x
    x = 7,293,326.07/3,101.42
  6. Step 6: Final answer
    x = 2,351.61

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