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Finding the Fourth Proportional to 2,137.91, 3,207.32 and 677.18

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Solution

The fourth proportional to 2,137.91, 3,207.32 and 677.18 is: 1,015.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,137.91 : 3,207.32 = 677.18 : x
  2. Step 2: Convert to fraction form
    2,137.91/3,207.32 = 677.18/x
  3. Step 3: Cross multiply
    2,137.91x = 3,207.32 × 677.18
  4. Step 4: Simplify right side
    2,137.91x = 2,171,932.96
  5. Step 5: Solve for x
    x = 2,171,932.96/2,137.91
  6. Step 6: Final answer
    x = 1,015.91

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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.