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Finding the Fourth Proportional to 2,496.80, 3,744.12 and 1,920.08

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Solution

The fourth proportional to 2,496.80, 3,744.12 and 1,920.08 is: 2,879.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,496.80 : 3,744.12 = 1,920.08 : x
  2. Step 2: Convert to fraction form
    2,496.80/3,744.12 = 1,920.08/x
  3. Step 3: Cross multiply
    2,496.80x = 3,744.12 × 1,920.08
  4. Step 4: Simplify right side
    2,496.80x = 7,189,009.93
  5. Step 5: Solve for x
    x = 7,189,009.93/2,496.80
  6. Step 6: Final answer
    x = 2,879.29

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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.