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Finding the Fourth Proportional to 2,963.82, 4,089.78 and 2,217

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Solution

The fourth proportional to 2,963.82, 4,089.78 and 2,217 is: 3,059.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,963.82 : 4,089.78 = 2,217 : x
  2. Step 2: Convert to fraction form
    2,963.82/4,089.78 = 2,217/x
  3. Step 3: Cross multiply
    2,963.82x = 4,089.78 × 2,217
  4. Step 4: Simplify right side
    2,963.82x = 9,067,042.26
  5. Step 5: Solve for x
    x = 9,067,042.26/2,963.82
  6. Step 6: Final answer
    x = 3,059.24

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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.