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Finding the Fourth Proportional to 3,111.39, 4,667.09 and 920.31

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Solution

The fourth proportional to 3,111.39, 4,667.09 and 920.31 is: 1,380.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,111.39 : 4,667.09 = 920.31 : x
  2. Step 2: Convert to fraction form
    3,111.39/4,667.09 = 920.31/x
  3. Step 3: Cross multiply
    3,111.39x = 4,667.09 × 920.31
  4. Step 4: Simplify right side
    3,111.39x = 4,295,165.00
  5. Step 5: Solve for x
    x = 4,295,165.00/3,111.39
  6. Step 6: Final answer
    x = 1,380.47

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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.