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Finding the Fourth Proportional to 2,027.91, 3,040.77 and 933.09

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Solution

The fourth proportional to 2,027.91, 3,040.77 and 933.09 is: 1,399.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,027.91 : 3,040.77 = 933.09 : x
  2. Step 2: Convert to fraction form
    2,027.91/3,040.77 = 933.09/x
  3. Step 3: Cross multiply
    2,027.91x = 3,040.77 × 933.09
  4. Step 4: Simplify right side
    2,027.91x = 2,837,312.08
  5. Step 5: Solve for x
    x = 2,837,312.08/2,027.91
  6. Step 6: Final answer
    x = 1,399.13

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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.