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Finding the Fourth Proportional to 2,902.93, 4,356.82 and 2,212.81

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Solution

The fourth proportional to 2,902.93, 4,356.82 and 2,212.81 is: 3,321.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,902.93 : 4,356.82 = 2,212.81 : x
  2. Step 2: Convert to fraction form
    2,902.93/4,356.82 = 2,212.81/x
  3. Step 3: Cross multiply
    2,902.93x = 4,356.82 × 2,212.81
  4. Step 4: Simplify right side
    2,902.93x = 9,640,793.08
  5. Step 5: Solve for x
    x = 9,640,793.08/2,902.93
  6. Step 6: Final answer
    x = 3,321.06

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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.