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Finding the Fourth Proportional to 2,249.40, 3,374.12 and 788.58

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Solution

The fourth proportional to 2,249.40, 3,374.12 and 788.58 is: 1,182.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,249.40 : 3,374.12 = 788.58 : x
  2. Step 2: Convert to fraction form
    2,249.40/3,374.12 = 788.58/x
  3. Step 3: Cross multiply
    2,249.40x = 3,374.12 × 788.58
  4. Step 4: Simplify right side
    2,249.40x = 2,660,763.55
  5. Step 5: Solve for x
    x = 2,660,763.55/2,249.40
  6. Step 6: Final answer
    x = 1,182.88

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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.