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Finding the Fourth Proportional to 2,752.48, 4,118.82 and 2,020.24

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Solution

The fourth proportional to 2,752.48, 4,118.82 and 2,020.24 is: 3,023.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,752.48 : 4,118.82 = 2,020.24 : x
  2. Step 2: Convert to fraction form
    2,752.48/4,118.82 = 2,020.24/x
  3. Step 3: Cross multiply
    2,752.48x = 4,118.82 × 2,020.24
  4. Step 4: Simplify right side
    2,752.48x = 8,321,004.92
  5. Step 5: Solve for x
    x = 8,321,004.92/2,752.48
  6. Step 6: Final answer
    x = 3,023.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.