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Finding the Fourth Proportional to 1,546.23, 2,318.77 and 960.38

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Solution

The fourth proportional to 1,546.23, 2,318.77 and 960.38 is: 1,440.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,546.23 : 2,318.77 = 960.38 : x
  2. Step 2: Convert to fraction form
    1,546.23/2,318.77 = 960.38/x
  3. Step 3: Cross multiply
    1,546.23x = 2,318.77 × 960.38
  4. Step 4: Simplify right side
    1,546.23x = 2,226,900.33
  5. Step 5: Solve for x
    x = 2,226,900.33/1,546.23
  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.