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Finding the Fourth Proportional to 2,811.98, 4,218.78 and 864.48

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Solution

The fourth proportional to 2,811.98, 4,218.78 and 864.48 is: 1,296.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,811.98 : 4,218.78 = 864.48 : x
  2. Step 2: Convert to fraction form
    2,811.98/4,218.78 = 864.48/x
  3. Step 3: Cross multiply
    2,811.98x = 4,218.78 × 864.48
  4. Step 4: Simplify right side
    2,811.98x = 3,647,050.93
  5. Step 5: Solve for x
    x = 3,647,050.93/2,811.98
  6. Step 6: Final answer
    x = 1,296.97

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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.