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Finding the Fourth Proportional to 2,839.97, 4,260.64 and 892.17

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Solution

The fourth proportional to 2,839.97, 4,260.64 and 892.17 is: 1,338.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,839.97 : 4,260.64 = 892.17 : x
  2. Step 2: Convert to fraction form
    2,839.97/4,260.64 = 892.17/x
  3. Step 3: Cross multiply
    2,839.97x = 4,260.64 × 892.17
  4. Step 4: Simplify right side
    2,839.97x = 3,801,210.73
  5. Step 5: Solve for x
    x = 3,801,210.73/2,839.97
  6. Step 6: Final answer
    x = 1,338.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.