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Finding the Fourth Proportional to 2,194.88, 3,293.46 and 963.16

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Solution

The fourth proportional to 2,194.88, 3,293.46 and 963.16 is: 1,445.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,194.88 : 3,293.46 = 963.16 : x
  2. Step 2: Convert to fraction form
    2,194.88/3,293.46 = 963.16/x
  3. Step 3: Cross multiply
    2,194.88x = 3,293.46 × 963.16
  4. Step 4: Simplify right side
    2,194.88x = 3,172,120.70
  5. Step 5: Solve for x
    x = 3,172,120.70/2,194.88
  6. Step 6: Final answer
    x = 1,445.24

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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.