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Finding the Fourth Proportional to 3,194.90, 4,408.26 and 1,868.00

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Solution

The fourth proportional to 3,194.90, 4,408.26 and 1,868.00 is: 2,577.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,194.90 : 4,408.26 = 1,868.00 : x
  2. Step 2: Convert to fraction form
    3,194.90/4,408.26 = 1,868.00/x
  3. Step 3: Cross multiply
    3,194.90x = 4,408.26 × 1,868.00
  4. Step 4: Simplify right side
    3,194.90x = 8,234,607.64
  5. Step 5: Solve for x
    x = 8,234,607.64/3,194.90
  6. Step 6: Final answer
    x = 2,577.43

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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.