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Finding the Fourth Proportional to 3,150.90, 4,727.57 and 960.26

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Solution

The fourth proportional to 3,150.90, 4,727.57 and 960.26 is: 1,440.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,150.90 : 4,727.57 = 960.26 : x
  2. Step 2: Convert to fraction form
    3,150.90/4,727.57 = 960.26/x
  3. Step 3: Cross multiply
    3,150.90x = 4,727.57 × 960.26
  4. Step 4: Simplify right side
    3,150.90x = 4,539,667.93
  5. Step 5: Solve for x
    x = 4,539,667.93/3,150.90
  6. Step 6: Final answer
    x = 1,440.75

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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.