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Finding the Fourth Proportional to 2,274.80, 3,138.09 and 1,343.30

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Solution

The fourth proportional to 2,274.80, 3,138.09 and 1,343.30 is: 1,853.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,274.80 : 3,138.09 = 1,343.30 : x
  2. Step 2: Convert to fraction form
    2,274.80/3,138.09 = 1,343.30/x
  3. Step 3: Cross multiply
    2,274.80x = 3,138.09 × 1,343.30
  4. Step 4: Simplify right side
    2,274.80x = 4,215,396.30
  5. Step 5: Solve for x
    x = 4,215,396.30/2,274.80
  6. Step 6: Final answer
    x = 1,853.08

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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.