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Finding the Fourth Proportional to 3,194.59, 4,408.48 and 1,778.51

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Solution

The fourth proportional to 3,194.59, 4,408.48 and 1,778.51 is: 2,454.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,194.59 : 4,408.48 = 1,778.51 : x
  2. Step 2: Convert to fraction form
    3,194.59/4,408.48 = 1,778.51/x
  3. Step 3: Cross multiply
    3,194.59x = 4,408.48 × 1,778.51
  4. Step 4: Simplify right side
    3,194.59x = 7,840,525.76
  5. Step 5: Solve for x
    x = 7,840,525.76/3,194.59
  6. Step 6: Final answer
    x = 2,454.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.