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Finding the Fourth Proportional to 2,138.29, 3,207.09 and 677.11

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Solution

The fourth proportional to 2,138.29, 3,207.09 and 677.11 is: 1,015.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138.29 : 3,207.09 = 677.11 : x
  2. Step 2: Convert to fraction form
    2,138.29/3,207.09 = 677.11/x
  3. Step 3: Cross multiply
    2,138.29x = 3,207.09 × 677.11
  4. Step 4: Simplify right side
    2,138.29x = 2,171,552.71
  5. Step 5: Solve for x
    x = 2,171,552.71/2,138.29
  6. Step 6: Final answer
    x = 1,015.56

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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.