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Finding the Fourth Proportional to 2,963.97, 4,446.21 and 772.70

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Solution

The fourth proportional to 2,963.97, 4,446.21 and 772.70 is: 1,159.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,963.97 : 4,446.21 = 772.70 : x
  2. Step 2: Convert to fraction form
    2,963.97/4,446.21 = 772.70/x
  3. Step 3: Cross multiply
    2,963.97x = 4,446.21 × 772.70
  4. Step 4: Simplify right side
    2,963.97x = 3,435,567.13
  5. Step 5: Solve for x
    x = 3,435,567.13/2,963.97
  6. Step 6: Final answer
    x = 1,159.11

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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.