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Finding the Fourth Proportional to 2,351.42, 3,520.22 and 1,238.20

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Solution

The fourth proportional to 2,351.42, 3,520.22 and 1,238.20 is: 1,853.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,351.42 : 3,520.22 = 1,238.20 : x
  2. Step 2: Convert to fraction form
    2,351.42/3,520.22 = 1,238.20/x
  3. Step 3: Cross multiply
    2,351.42x = 3,520.22 × 1,238.20
  4. Step 4: Simplify right side
    2,351.42x = 4,358,736.40
  5. Step 5: Solve for x
    x = 4,358,736.40/2,351.42
  6. Step 6: Final answer
    x = 1,853.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.