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Finding the Fourth Proportional to 3,069.06, 4,234.04 and 2,138.10

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Solution

The fourth proportional to 3,069.06, 4,234.04 and 2,138.10 is: 2,949.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,069.06 : 4,234.04 = 2,138.10 : x
  2. Step 2: Convert to fraction form
    3,069.06/4,234.04 = 2,138.10/x
  3. Step 3: Cross multiply
    3,069.06x = 4,234.04 × 2,138.10
  4. Step 4: Simplify right side
    3,069.06x = 9,052,800.92
  5. Step 5: Solve for x
    x = 9,052,800.92/3,069.06
  6. Step 6: Final answer
    x = 2,949.70

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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.