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Finding the Fourth Proportional to 2,100.78, 3,151.65 and 639.96

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Solution

The fourth proportional to 2,100.78, 3,151.65 and 639.96 is: 960.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,100.78 : 3,151.65 = 639.96 : x
  2. Step 2: Convert to fraction form
    2,100.78/3,151.65 = 639.96/x
  3. Step 3: Cross multiply
    2,100.78x = 3,151.65 × 639.96
  4. Step 4: Simplify right side
    2,100.78x = 2,016,929.93
  5. Step 5: Solve for x
    x = 2,016,929.93/2,100.78
  6. Step 6: Final answer
    x = 960.09

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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.