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Finding the Fourth Proportional to 2,143.40, 3,206.21 and 2,012.18

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Solution

The fourth proportional to 2,143.40, 3,206.21 and 2,012.18 is: 3,009.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,143.40 : 3,206.21 = 2,012.18 : x
  2. Step 2: Convert to fraction form
    2,143.40/3,206.21 = 2,012.18/x
  3. Step 3: Cross multiply
    2,143.40x = 3,206.21 × 2,012.18
  4. Step 4: Simplify right side
    2,143.40x = 6,451,471.64
  5. Step 5: Solve for x
    x = 6,451,471.64/2,143.40
  6. Step 6: Final answer
    x = 3,009.92

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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.