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Finding the Fourth Proportional to 3,111.81, 4,667.10 and 920.04

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Solution

The fourth proportional to 3,111.81, 4,667.10 and 920.04 is: 1,379.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,111.81 : 4,667.10 = 920.04 : x
  2. Step 2: Convert to fraction form
    3,111.81/4,667.10 = 920.04/x
  3. Step 3: Cross multiply
    3,111.81x = 4,667.10 × 920.04
  4. Step 4: Simplify right side
    3,111.81x = 4,293,918.68
  5. Step 5: Solve for x
    x = 4,293,918.68/3,111.81
  6. Step 6: Final answer
    x = 1,379.88

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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.