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Finding the Fourth Proportional to 2,493.12, 3,737.68 and 1,323.08

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Solution

The fourth proportional to 2,493.12, 3,737.68 and 1,323.08 is: 1,983.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,493.12 : 3,737.68 = 1,323.08 : x
  2. Step 2: Convert to fraction form
    2,493.12/3,737.68 = 1,323.08/x
  3. Step 3: Cross multiply
    2,493.12x = 3,737.68 × 1,323.08
  4. Step 4: Simplify right side
    2,493.12x = 4,945,249.65
  5. Step 5: Solve for x
    x = 4,945,249.65/2,493.12
  6. Step 6: Final answer
    x = 1,983.56

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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.