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Finding the Fourth Proportional to 3,310.48, 4,568.70 and 2,189.48

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Solution

The fourth proportional to 3,310.48, 4,568.70 and 2,189.48 is: 3,021.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,310.48 : 4,568.70 = 2,189.48 : x
  2. Step 2: Convert to fraction form
    3,310.48/4,568.70 = 2,189.48/x
  3. Step 3: Cross multiply
    3,310.48x = 4,568.70 × 2,189.48
  4. Step 4: Simplify right side
    3,310.48x = 10,003,077.28
  5. Step 5: Solve for x
    x = 10,003,077.28/3,310.48
  6. Step 6: Final answer
    x = 3,021.64

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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.