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Finding the Fourth Proportional to 2,133.44, 3,200.16 and 963.86

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Solution

The fourth proportional to 2,133.44, 3,200.16 and 963.86 is: 1,445.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,133.44 : 3,200.16 = 963.86 : x
  2. Step 2: Convert to fraction form
    2,133.44/3,200.16 = 963.86/x
  3. Step 3: Cross multiply
    2,133.44x = 3,200.16 × 963.86
  4. Step 4: Simplify right side
    2,133.44x = 3,084,486.60
  5. Step 5: Solve for x
    x = 3,084,486.60/2,133.44
  6. Step 6: Final answer
    x = 1,445.78

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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.