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Finding the Fourth Proportional to 3,401.42, 4,692.05 and 2,339.06

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Solution

The fourth proportional to 3,401.42, 4,692.05 and 2,339.06 is: 3,226.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,401.42 : 4,692.05 = 2,339.06 : x
  2. Step 2: Convert to fraction form
    3,401.42/4,692.05 = 2,339.06/x
  3. Step 3: Cross multiply
    3,401.42x = 4,692.05 × 2,339.06
  4. Step 4: Simplify right side
    3,401.42x = 10,974,974.78
  5. Step 5: Solve for x
    x = 10,974,974.78/3,401.42
  6. Step 6: Final answer
    x = 3,226.59

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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.