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Finding the Fourth Proportional to 2,809.62, 3,881.10 and 2,441.46

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Solution

The fourth proportional to 2,809.62, 3,881.10 and 2,441.46 is: 3,372.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,809.62 : 3,881.10 = 2,441.46 : x
  2. Step 2: Convert to fraction form
    2,809.62/3,881.10 = 2,441.46/x
  3. Step 3: Cross multiply
    2,809.62x = 3,881.10 × 2,441.46
  4. Step 4: Simplify right side
    2,809.62x = 9,475,550.41
  5. Step 5: Solve for x
    x = 9,475,550.41/2,809.62
  6. Step 6: Final answer
    x = 3,372.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.