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Finding the Fourth Proportional to 2,750.82, 3,792.42 and 2,276.97

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Solution

The fourth proportional to 2,750.82, 3,792.42 and 2,276.97 is: 3,139.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,750.82 : 3,792.42 = 2,276.97 : x
  2. Step 2: Convert to fraction form
    2,750.82/3,792.42 = 2,276.97/x
  3. Step 3: Cross multiply
    2,750.82x = 3,792.42 × 2,276.97
  4. Step 4: Simplify right side
    2,750.82x = 8,635,226.57
  5. Step 5: Solve for x
    x = 8,635,226.57/2,750.82
  6. Step 6: Final answer
    x = 3,139.15

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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.