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Finding the Fourth Proportional to 2,082.47, 2,871.20 and 1,335.11

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Solution

The fourth proportional to 2,082.47, 2,871.20 and 1,335.11 is: 1,840.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,082.47 : 2,871.20 = 1,335.11 : x
  2. Step 2: Convert to fraction form
    2,082.47/2,871.20 = 1,335.11/x
  3. Step 3: Cross multiply
    2,082.47x = 2,871.20 × 1,335.11
  4. Step 4: Simplify right side
    2,082.47x = 3,833,361.16
  5. Step 5: Solve for x
    x = 3,833,361.16/2,082.47
  6. Step 6: Final answer
    x = 1,840.78

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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.