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Finding the Fourth Proportional to 2,754.60, 4,122.30 and 2,524.20

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Solution

The fourth proportional to 2,754.60, 4,122.30 and 2,524.20 is: 3,777.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,754.60 : 4,122.30 = 2,524.20 : x
  2. Step 2: Convert to fraction form
    2,754.60/4,122.30 = 2,524.20/x
  3. Step 3: Cross multiply
    2,754.60x = 4,122.30 × 2,524.20
  4. Step 4: Simplify right side
    2,754.60x = 10,405,509.66
  5. Step 5: Solve for x
    x = 10,405,509.66/2,754.60
  6. Step 6: Final answer
    x = 3,777.50

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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.