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Finding the Fourth Proportional to 2,754.83, 4,122.98 and 2,527.22

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Solution

The fourth proportional to 2,754.83, 4,122.98 and 2,527.22 is: 3,782.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,754.83 : 4,122.98 = 2,527.22 : x
  2. Step 2: Convert to fraction form
    2,754.83/4,122.98 = 2,527.22/x
  3. Step 3: Cross multiply
    2,754.83x = 4,122.98 × 2,527.22
  4. Step 4: Simplify right side
    2,754.83x = 10,419,677.52
  5. Step 5: Solve for x
    x = 10,419,677.52/2,754.83
  6. Step 6: Final answer
    x = 3,782.33

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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.