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Finding the Fourth Proportional to 2,138.35, 3,207.66 and 677.47

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Solution

The fourth proportional to 2,138.35, 3,207.66 and 677.47 is: 1,016.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138.35 : 3,207.66 = 677.47 : x
  2. Step 2: Convert to fraction form
    2,138.35/3,207.66 = 677.47/x
  3. Step 3: Cross multiply
    2,138.35x = 3,207.66 × 677.47
  4. Step 4: Simplify right side
    2,138.35x = 2,173,093.42
  5. Step 5: Solve for x
    x = 2,173,093.42/2,138.35
  6. Step 6: Final answer
    x = 1,016.25

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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.