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Finding the Fourth Proportional to 2,854.40, 3,940.90 and 1,793.61

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Solution

The fourth proportional to 2,854.40, 3,940.90 and 1,793.61 is: 2,476.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,854.40 : 3,940.90 = 1,793.61 : x
  2. Step 2: Convert to fraction form
    2,854.40/3,940.90 = 1,793.61/x
  3. Step 3: Cross multiply
    2,854.40x = 3,940.90 × 1,793.61
  4. Step 4: Simplify right side
    2,854.40x = 7,068,433.16
  5. Step 5: Solve for x
    x = 7,068,433.16/2,854.40
  6. Step 6: Final answer
    x = 2,476.33

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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.