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Finding the Fourth Proportional to 2,141.48, 3,212.18 and 987.23

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Solution

The fourth proportional to 2,141.48, 3,212.18 and 987.23 is: 1,480.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,141.48 : 3,212.18 = 987.23 : x
  2. Step 2: Convert to fraction form
    2,141.48/3,212.18 = 987.23/x
  3. Step 3: Cross multiply
    2,141.48x = 3,212.18 × 987.23
  4. Step 4: Simplify right side
    2,141.48x = 3,171,163.56
  5. Step 5: Solve for x
    x = 3,171,163.56/2,141.48
  6. Step 6: Final answer
    x = 1,480.83

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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.