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Finding the Fourth Proportional to 1,960.67, 2,939.59 and 987.46

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Solution

The fourth proportional to 1,960.67, 2,939.59 and 987.46 is: 1,480.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,960.67 : 2,939.59 = 987.46 : x
  2. Step 2: Convert to fraction form
    1,960.67/2,939.59 = 987.46/x
  3. Step 3: Cross multiply
    1,960.67x = 2,939.59 × 987.46
  4. Step 4: Simplify right side
    1,960.67x = 2,902,721.43
  5. Step 5: Solve for x
    x = 2,902,721.43/1,960.67
  6. Step 6: Final answer
    x = 1,480.47

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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.