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Finding the Fourth Proportional to 2,039.01, 2,813.81 and 1,142.83

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Solution

The fourth proportional to 2,039.01, 2,813.81 and 1,142.83 is: 1,577.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,039.01 : 2,813.81 = 1,142.83 : x
  2. Step 2: Convert to fraction form
    2,039.01/2,813.81 = 1,142.83/x
  3. Step 3: Cross multiply
    2,039.01x = 2,813.81 × 1,142.83
  4. Step 4: Simplify right side
    2,039.01x = 3,215,700.33
  5. Step 5: Solve for x
    x = 3,215,700.33/2,039.01
  6. Step 6: Final answer
    x = 1,577.09

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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.