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Finding the Fourth Proportional to 3,138.40, 4,702.20 and 2,042.20

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Solution

The fourth proportional to 3,138.40, 4,702.20 and 2,042.20 is: 3,059.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,138.40 : 4,702.20 = 2,042.20 : x
  2. Step 2: Convert to fraction form
    3,138.40/4,702.20 = 2,042.20/x
  3. Step 3: Cross multiply
    3,138.40x = 4,702.20 × 2,042.20
  4. Step 4: Simplify right side
    3,138.40x = 9,602,832.84
  5. Step 5: Solve for x
    x = 9,602,832.84/3,138.40
  6. Step 6: Final answer
    x = 3,059.79

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1.5x scale

Why These Related Problems?

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