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Finding the Fourth Proportional to 2,811.83, 4,218.46 and 963.05

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Solution

The fourth proportional to 2,811.83, 4,218.46 and 963.05 is: 1,444.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,811.83 : 4,218.46 = 963.05 : x
  2. Step 2: Convert to fraction form
    2,811.83/4,218.46 = 963.05/x
  3. Step 3: Cross multiply
    2,811.83x = 4,218.46 × 963.05
  4. Step 4: Simplify right side
    2,811.83x = 4,062,587.90
  5. Step 5: Solve for x
    x = 4,062,587.90/2,811.83
  6. Step 6: Final answer
    x = 1,444.82

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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.