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Finding the Fourth Proportional to 2,861.16, 3,933.22 and 2,461.36

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Solution

The fourth proportional to 2,861.16, 3,933.22 and 2,461.36 is: 3,383.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,861.16 : 3,933.22 = 2,461.36 : x
  2. Step 2: Convert to fraction form
    2,861.16/3,933.22 = 2,461.36/x
  3. Step 3: Cross multiply
    2,861.16x = 3,933.22 × 2,461.36
  4. Step 4: Simplify right side
    2,861.16x = 9,681,070.38
  5. Step 5: Solve for x
    x = 9,681,070.38/2,861.16
  6. Step 6: Final answer
    x = 3,383.62

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.