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Finding the Fourth Proportional to 2,027.83, 3,040.48 and 930.79

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Solution

The fourth proportional to 2,027.83, 3,040.48 and 930.79 is: 1,395.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,027.83 : 3,040.48 = 930.79 : x
  2. Step 2: Convert to fraction form
    2,027.83/3,040.48 = 930.79/x
  3. Step 3: Cross multiply
    2,027.83x = 3,040.48 × 930.79
  4. Step 4: Simplify right side
    2,027.83x = 2,830,028.52
  5. Step 5: Solve for x
    x = 2,830,028.52/2,027.83
  6. Step 6: Final answer
    x = 1,395.59

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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.