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Finding the Fourth Proportional to 3,194.15, 4,408.17 and 1,850

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Solution

The fourth proportional to 3,194.15, 4,408.17 and 1,850 is: 2,553.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,194.15 : 4,408.17 = 1,850 : x
  2. Step 2: Convert to fraction form
    3,194.15/4,408.17 = 1,850/x
  3. Step 3: Cross multiply
    3,194.15x = 4,408.17 × 1,850
  4. Step 4: Simplify right side
    3,194.15x = 8,155,114.50
  5. Step 5: Solve for x
    x = 8,155,114.50/3,194.15
  6. Step 6: Final answer
    x = 2,553.14

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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.