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Finding the Fourth Proportional to 2,102.20, 3,151.78 and 640.55

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Solution

The fourth proportional to 2,102.20, 3,151.78 and 640.55 is: 960.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,102.20 : 3,151.78 = 640.55 : x
  2. Step 2: Convert to fraction form
    2,102.20/3,151.78 = 640.55/x
  3. Step 3: Cross multiply
    2,102.20x = 3,151.78 × 640.55
  4. Step 4: Simplify right side
    2,102.20x = 2,018,878.96
  5. Step 5: Solve for x
    x = 2,018,878.96/2,102.20
  6. Step 6: Final answer
    x = 960.37

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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.