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Finding the Fourth Proportional to 2,702.40, 3,731.04 and 2,206.24

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Solution

The fourth proportional to 2,702.40, 3,731.04 and 2,206.24 is: 3,046.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,702.40 : 3,731.04 = 2,206.24 : x
  2. Step 2: Convert to fraction form
    2,702.40/3,731.04 = 2,206.24/x
  3. Step 3: Cross multiply
    2,702.40x = 3,731.04 × 2,206.24
  4. Step 4: Simplify right side
    2,702.40x = 8,231,569.69
  5. Step 5: Solve for x
    x = 8,231,569.69/2,702.40
  6. Step 6: Final answer
    x = 3,046.02

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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.