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Finding the Fourth Proportional to 2,038.11, 3,057.28 and 577.23

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Solution

The fourth proportional to 2,038.11, 3,057.28 and 577.23 is: 865.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,038.11 : 3,057.28 = 577.23 : x
  2. Step 2: Convert to fraction form
    2,038.11/3,057.28 = 577.23/x
  3. Step 3: Cross multiply
    2,038.11x = 3,057.28 × 577.23
  4. Step 4: Simplify right side
    2,038.11x = 1,764,753.73
  5. Step 5: Solve for x
    x = 1,764,753.73/2,038.11
  6. Step 6: Final answer
    x = 865.88

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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.