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Finding the Fourth Proportional to 1,426.11, 2,138.91 and 451.99

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Solution

The fourth proportional to 1,426.11, 2,138.91 and 451.99 is: 677.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,426.11 : 2,138.91 = 451.99 : x
  2. Step 2: Convert to fraction form
    1,426.11/2,138.91 = 451.99/x
  3. Step 3: Cross multiply
    1,426.11x = 2,138.91 × 451.99
  4. Step 4: Simplify right side
    1,426.11x = 966,765.93
  5. Step 5: Solve for x
    x = 966,765.93/1,426.11
  6. Step 6: Final answer
    x = 677.90

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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.