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Finding the Fourth Proportional to 2,711.29, 3,741.03 and 2,082.53

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Solution

The fourth proportional to 2,711.29, 3,741.03 and 2,082.53 is: 2,873.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,711.29 : 3,741.03 = 2,082.53 : x
  2. Step 2: Convert to fraction form
    2,711.29/3,741.03 = 2,082.53/x
  3. Step 3: Cross multiply
    2,711.29x = 3,741.03 × 2,082.53
  4. Step 4: Simplify right side
    2,711.29x = 7,790,807.21
  5. Step 5: Solve for x
    x = 7,790,807.21/2,711.29
  6. Step 6: Final answer
    x = 2,873.47

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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.