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Finding the Fourth Proportional to 3,151.10, 4,727.34 and 960.00

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Solution

The fourth proportional to 3,151.10, 4,727.34 and 960.00 is: 1,440.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,151.10 : 4,727.34 = 960.00 : x
  2. Step 2: Convert to fraction form
    3,151.10/4,727.34 = 960.00/x
  3. Step 3: Cross multiply
    3,151.10x = 4,727.34 × 960.00
  4. Step 4: Simplify right side
    3,151.10x = 4,538,252.56
  5. Step 5: Solve for x
    x = 4,538,252.56/3,151.10
  6. Step 6: Final answer
    x = 1,440.21

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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.