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Finding the Fourth Proportional to 2,702.97, 3,732.48 and 2,112.48

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Solution

The fourth proportional to 2,702.97, 3,732.48 and 2,112.48 is: 2,917.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,702.97 : 3,732.48 = 2,112.48 : x
  2. Step 2: Convert to fraction form
    2,702.97/3,732.48 = 2,112.48/x
  3. Step 3: Cross multiply
    2,702.97x = 3,732.48 × 2,112.48
  4. Step 4: Simplify right side
    2,702.97x = 7,884,789.35
  5. Step 5: Solve for x
    x = 7,884,789.35/2,702.97
  6. Step 6: Final answer
    x = 2,917.08

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1.5x scale

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.