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Finding the Fourth Proportional to 2,463.39, 3,676.03 and 2,200.57

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Solution

The fourth proportional to 2,463.39, 3,676.03 and 2,200.57 is: 3,283.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,463.39 : 3,676.03 = 2,200.57 : x
  2. Step 2: Convert to fraction form
    2,463.39/3,676.03 = 2,200.57/x
  3. Step 3: Cross multiply
    2,463.39x = 3,676.03 × 2,200.57
  4. Step 4: Simplify right side
    2,463.39x = 8,089,346.65
  5. Step 5: Solve for x
    x = 8,089,346.65/2,463.39
  6. Step 6: Final answer
    x = 3,283.83

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.