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Finding the Fourth Proportional to 3,111.17, 4,667.42 and 920.07

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Solution

The fourth proportional to 3,111.17, 4,667.42 and 920.07 is: 1,380.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,111.17 : 4,667.42 = 920.07 : x
  2. Step 2: Convert to fraction form
    3,111.17/4,667.42 = 920.07/x
  3. Step 3: Cross multiply
    3,111.17x = 4,667.42 × 920.07
  4. Step 4: Simplify right side
    3,111.17x = 4,294,355.42
  5. Step 5: Solve for x
    x = 4,294,355.42/3,111.17
  6. Step 6: Final answer
    x = 1,380.30

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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.