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Finding the Fourth Proportional to 2,138.45, 3,210.12 and 2,016.95

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Solution

The fourth proportional to 2,138.45, 3,210.12 and 2,016.95 is: 3,027.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138.45 : 3,210.12 = 2,016.95 : x
  2. Step 2: Convert to fraction form
    2,138.45/3,210.12 = 2,016.95/x
  3. Step 3: Cross multiply
    2,138.45x = 3,210.12 × 2,016.95
  4. Step 4: Simplify right side
    2,138.45x = 6,474,635.48
  5. Step 5: Solve for x
    x = 6,474,635.48/2,138.45
  6. Step 6: Final answer
    x = 3,027.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.