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Finding the Fourth Proportional to 3,111.28, 4,667.31 and 920.05

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Solution

The fourth proportional to 3,111.28, 4,667.31 and 920.05 is: 1,380.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,111.28 : 4,667.31 = 920.05 : x
  2. Step 2: Convert to fraction form
    3,111.28/4,667.31 = 920.05/x
  3. Step 3: Cross multiply
    3,111.28x = 4,667.31 × 920.05
  4. Step 4: Simplify right side
    3,111.28x = 4,294,158.57
  5. Step 5: Solve for x
    x = 4,294,158.57/3,111.28
  6. Step 6: Final answer
    x = 1,380.19

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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.