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Finding the Fourth Proportional to 2,101.01, 3,151.67 and 640.17

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Solution

The fourth proportional to 2,101.01, 3,151.67 and 640.17 is: 960.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,101.01 : 3,151.67 = 640.17 : x
  2. Step 2: Convert to fraction form
    2,101.01/3,151.67 = 640.17/x
  3. Step 3: Cross multiply
    2,101.01x = 3,151.67 × 640.17
  4. Step 4: Simplify right side
    2,101.01x = 2,017,601.38
  5. Step 5: Solve for x
    x = 2,017,601.38/2,101.01
  6. Step 6: Final answer
    x = 960.30

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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.