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Finding the Fourth Proportional to 2,702.54, 3,731.22 and 2,206.36

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Solution

The fourth proportional to 2,702.54, 3,731.22 and 2,206.36 is: 3,046.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,702.54 : 3,731.22 = 2,206.36 : x
  2. Step 2: Convert to fraction form
    2,702.54/3,731.22 = 2,206.36/x
  3. Step 3: Cross multiply
    2,702.54x = 3,731.22 × 2,206.36
  4. Step 4: Simplify right side
    2,702.54x = 8,232,414.56
  5. Step 5: Solve for x
    x = 8,232,414.56/2,702.54
  6. Step 6: Final answer
    x = 3,046.18

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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.