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Finding the Fourth Proportional to 2,705.20, 4,065.76 and 2,245.92

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Solution

The fourth proportional to 2,705.20, 4,065.76 and 2,245.92 is: 3,375.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,705.20 : 4,065.76 = 2,245.92 : x
  2. Step 2: Convert to fraction form
    2,705.20/4,065.76 = 2,245.92/x
  3. Step 3: Cross multiply
    2,705.20x = 4,065.76 × 2,245.92
  4. Step 4: Simplify right side
    2,705.20x = 9,131,371.70
  5. Step 5: Solve for x
    x = 9,131,371.70/2,705.20
  6. Step 6: Final answer
    x = 3,375.49

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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.