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Finding the Fourth Proportional to 2,842.97, 3,913.72 and 2,344.82

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Solution

The fourth proportional to 2,842.97, 3,913.72 and 2,344.82 is: 3,227.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,842.97 : 3,913.72 = 2,344.82 : x
  2. Step 2: Convert to fraction form
    2,842.97/3,913.72 = 2,344.82/x
  3. Step 3: Cross multiply
    2,842.97x = 3,913.72 × 2,344.82
  4. Step 4: Simplify right side
    2,842.97x = 9,176,943.50
  5. Step 5: Solve for x
    x = 9,176,943.50/2,842.97
  6. Step 6: Final answer
    x = 3,227.95

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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.