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Finding the Fourth Proportional to 3,151.11, 4,727.34 and 960.02

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Solution

The fourth proportional to 3,151.11, 4,727.34 and 960.02 is: 1,440.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,151.11 : 4,727.34 = 960.02 : x
  2. Step 2: Convert to fraction form
    3,151.11/4,727.34 = 960.02/x
  3. Step 3: Cross multiply
    3,151.11x = 4,727.34 × 960.02
  4. Step 4: Simplify right side
    3,151.11x = 4,538,317.31
  5. Step 5: Solve for x
    x = 4,538,317.31/3,151.11
  6. Step 6: Final answer
    x = 1,440.23

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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.