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Finding the Fourth Proportional to 3,147.40, 4,343.10 and 2,401.84

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Solution

The fourth proportional to 3,147.40, 4,343.10 and 2,401.84 is: 3,314.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,147.40 : 4,343.10 = 2,401.84 : x
  2. Step 2: Convert to fraction form
    3,147.40/4,343.10 = 2,401.84/x
  3. Step 3: Cross multiply
    3,147.40x = 4,343.10 × 2,401.84
  4. Step 4: Simplify right side
    3,147.40x = 10,431,431.30
  5. Step 5: Solve for x
    x = 10,431,431.30/3,147.40
  6. Step 6: Final answer
    x = 3,314.30

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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.