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Finding the Fourth Proportional to 3,143.44, 4,694.14 and 2,961.20

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Solution

The fourth proportional to 3,143.44, 4,694.14 and 2,961.20 is: 4,422.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,143.44 : 4,694.14 = 2,961.20 : x
  2. Step 2: Convert to fraction form
    3,143.44/4,694.14 = 2,961.20/x
  3. Step 3: Cross multiply
    3,143.44x = 4,694.14 × 2,961.20
  4. Step 4: Simplify right side
    3,143.44x = 13,900,287.37
  5. Step 5: Solve for x
    x = 13,900,287.37/3,143.44
  6. Step 6: Final answer
    x = 4,422.00

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.