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Finding the Fourth Proportional to 2,052.82, 2,833.14 and 1,168.84

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Solution

The fourth proportional to 2,052.82, 2,833.14 and 1,168.84 is: 1,613.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,052.82 : 2,833.14 = 1,168.84 : x
  2. Step 2: Convert to fraction form
    2,052.82/2,833.14 = 1,168.84/x
  3. Step 3: Cross multiply
    2,052.82x = 2,833.14 × 1,168.84
  4. Step 4: Simplify right side
    2,052.82x = 3,311,487.36
  5. Step 5: Solve for x
    x = 3,311,487.36/2,052.82
  6. Step 6: Final answer
    x = 1,613.14

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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.