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Finding the Fourth Proportional to 3,110.22, 4,665.33 and 920.59

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Solution

The fourth proportional to 3,110.22, 4,665.33 and 920.59 is: 1,380.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,110.22 : 4,665.33 = 920.59 : x
  2. Step 2: Convert to fraction form
    3,110.22/4,665.33 = 920.59/x
  3. Step 3: Cross multiply
    3,110.22x = 4,665.33 × 920.59
  4. Step 4: Simplify right side
    3,110.22x = 4,294,844.48
  5. Step 5: Solve for x
    x = 4,294,844.48/3,110.22
  6. Step 6: Final answer
    x = 1,380.88

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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.