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Finding the Fourth Proportional to 2,101.05, 3,151.37 and 640.21

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Solution

The fourth proportional to 2,101.05, 3,151.37 and 640.21 is: 960.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,101.05 : 3,151.37 = 640.21 : x
  2. Step 2: Convert to fraction form
    2,101.05/3,151.37 = 640.21/x
  3. Step 3: Cross multiply
    2,101.05x = 3,151.37 × 640.21
  4. Step 4: Simplify right side
    2,101.05x = 2,017,535.39
  5. Step 5: Solve for x
    x = 2,017,535.39/2,101.05
  6. Step 6: Final answer
    x = 960.25

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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.