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Finding the Fourth Proportional to 2,138.40, 3,207.60 and 1,042.20

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Solution

The fourth proportional to 2,138.40, 3,207.60 and 1,042.20 is: 1,563.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138.40 : 3,207.60 = 1,042.20 : x
  2. Step 2: Convert to fraction form
    2,138.40/3,207.60 = 1,042.20/x
  3. Step 3: Cross multiply
    2,138.40x = 3,207.60 × 1,042.20
  4. Step 4: Simplify right side
    2,138.40x = 3,342,960.72
  5. Step 5: Solve for x
    x = 3,342,960.72/2,138.40
  6. Step 6: Final answer
    x = 1,563.30

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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.