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Finding the Fourth Proportional to 2,164.16, 3,249.60 and 1,841.60

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Solution

The fourth proportional to 2,164.16, 3,249.60 and 1,841.60 is: 2,765.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,164.16 : 3,249.60 = 1,841.60 : x
  2. Step 2: Convert to fraction form
    2,164.16/3,249.60 = 1,841.60/x
  3. Step 3: Cross multiply
    2,164.16x = 3,249.60 × 1,841.60
  4. Step 4: Simplify right side
    2,164.16x = 5,984,463.36
  5. Step 5: Solve for x
    x = 5,984,463.36/2,164.16
  6. Step 6: Final answer
    x = 2,765.26

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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.