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Finding the Fourth Proportional to 2,249.32, 3,374.40 and 788.62

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Solution

The fourth proportional to 2,249.32, 3,374.40 and 788.62 is: 1,183.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,249.32 : 3,374.40 = 788.62 : x
  2. Step 2: Convert to fraction form
    2,249.32/3,374.40 = 788.62/x
  3. Step 3: Cross multiply
    2,249.32x = 3,374.40 × 788.62
  4. Step 4: Simplify right side
    2,249.32x = 2,661,119.33
  5. Step 5: Solve for x
    x = 2,661,119.33/2,249.32
  6. Step 6: Final answer
    x = 1,183.08

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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.