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Finding the Fourth Proportional to 3,400.92, 4,693.92 and 2,207.40

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Solution

The fourth proportional to 3,400.92, 4,693.92 and 2,207.40 is: 3,046.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,400.92 : 4,693.92 = 2,207.40 : x
  2. Step 2: Convert to fraction form
    3,400.92/4,693.92 = 2,207.40/x
  3. Step 3: Cross multiply
    3,400.92x = 4,693.92 × 2,207.40
  4. Step 4: Simplify right side
    3,400.92x = 10,361,359.01
  5. Step 5: Solve for x
    x = 10,361,359.01/3,400.92
  6. Step 6: Final answer
    x = 3,046.63

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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.