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Finding the Fourth Proportional to 2,249.07, 3,374.21 and 788.34

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Solution

The fourth proportional to 2,249.07, 3,374.21 and 788.34 is: 1,182.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,249.07 : 3,374.21 = 788.34 : x
  2. Step 2: Convert to fraction form
    2,249.07/3,374.21 = 788.34/x
  3. Step 3: Cross multiply
    2,249.07x = 3,374.21 × 788.34
  4. Step 4: Simplify right side
    2,249.07x = 2,660,024.71
  5. Step 5: Solve for x
    x = 2,660,024.71/2,249.07
  6. Step 6: Final answer
    x = 1,182.72

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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.