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Finding the Fourth Proportional to 3,102.14, 4,279.16 and 2,040.10

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Solution

The fourth proportional to 3,102.14, 4,279.16 and 2,040.10 is: 2,814.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,102.14 : 4,279.16 = 2,040.10 : x
  2. Step 2: Convert to fraction form
    3,102.14/4,279.16 = 2,040.10/x
  3. Step 3: Cross multiply
    3,102.14x = 4,279.16 × 2,040.10
  4. Step 4: Simplify right side
    3,102.14x = 8,729,882.72
  5. Step 5: Solve for x
    x = 8,729,882.72/3,102.14
  6. Step 6: Final answer
    x = 2,814.15

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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.