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Finding the Fourth Proportional to 2,195.72, 3,294.88 and 963.32

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Solution

The fourth proportional to 2,195.72, 3,294.88 and 963.32 is: 1,445.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,195.72 : 3,294.88 = 963.32 : x
  2. Step 2: Convert to fraction form
    2,195.72/3,294.88 = 963.32/x
  3. Step 3: Cross multiply
    2,195.72x = 3,294.88 × 963.32
  4. Step 4: Simplify right side
    2,195.72x = 3,174,023.80
  5. Step 5: Solve for x
    x = 3,174,023.80/2,195.72
  6. Step 6: Final answer
    x = 1,445.55

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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.