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Finding the Fourth Proportional to 2,215.37, 3,321.14 and 981.83

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Solution

The fourth proportional to 2,215.37, 3,321.14 and 981.83 is: 1,471.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,215.37 : 3,321.14 = 981.83 : x
  2. Step 2: Convert to fraction form
    2,215.37/3,321.14 = 981.83/x
  3. Step 3: Cross multiply
    2,215.37x = 3,321.14 × 981.83
  4. Step 4: Simplify right side
    2,215.37x = 3,260,794.89
  5. Step 5: Solve for x
    x = 3,260,794.89/2,215.37
  6. Step 6: Final answer
    x = 1,471.90

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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.