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Finding the Fourth Proportional to 2,249.10, 3,373.69 and 788.31

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Solution

The fourth proportional to 2,249.10, 3,373.69 and 788.31 is: 1,182.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,249.10 : 3,373.69 = 788.31 : x
  2. Step 2: Convert to fraction form
    2,249.10/3,373.69 = 788.31/x
  3. Step 3: Cross multiply
    2,249.10x = 3,373.69 × 788.31
  4. Step 4: Simplify right side
    2,249.10x = 2,659,520.03
  5. Step 5: Solve for x
    x = 2,659,520.03/2,249.10
  6. Step 6: Final answer
    x = 1,182.48

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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.