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Finding the Fourth Proportional to 2,682.11, 4,024.02 and 1,277.12

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Solution

The fourth proportional to 2,682.11, 4,024.02 and 1,277.12 is: 1,916.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,682.11 : 4,024.02 = 1,277.12 : x
  2. Step 2: Convert to fraction form
    2,682.11/4,024.02 = 1,277.12/x
  3. Step 3: Cross multiply
    2,682.11x = 4,024.02 × 1,277.12
  4. Step 4: Simplify right side
    2,682.11x = 5,139,156.42
  5. Step 5: Solve for x
    x = 5,139,156.42/2,682.11
  6. Step 6: Final answer
    x = 1,916.09

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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.