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Finding the Fourth Proportional to 2,212.73, 3,318.32 and 981.00

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Solution

The fourth proportional to 2,212.73, 3,318.32 and 981.00 is: 1,471.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,212.73 : 3,318.32 = 981.00 : x
  2. Step 2: Convert to fraction form
    2,212.73/3,318.32 = 981.00/x
  3. Step 3: Cross multiply
    2,212.73x = 3,318.32 × 981.00
  4. Step 4: Simplify right side
    2,212.73x = 3,255,261.93
  5. Step 5: Solve for x
    x = 3,255,261.93/2,212.73
  6. Step 6: Final answer
    x = 1,471.16

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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.