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Finding the Fourth Proportional to 3,151.89, 4,726.31 and 960.03

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Solution

The fourth proportional to 3,151.89, 4,726.31 and 960.03 is: 1,439.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,151.89 : 4,726.31 = 960.03 : x
  2. Step 2: Convert to fraction form
    3,151.89/4,726.31 = 960.03/x
  3. Step 3: Cross multiply
    3,151.89x = 4,726.31 × 960.03
  4. Step 4: Simplify right side
    3,151.89x = 4,537,399.39
  5. Step 5: Solve for x
    x = 4,537,399.39/3,151.89
  6. Step 6: Final answer
    x = 1,439.58

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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.