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Finding the Fourth Proportional to 3,111.35, 4,667.71 and 920.26

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Solution

The fourth proportional to 3,111.35, 4,667.71 and 920.26 is: 1,380.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,111.35 : 4,667.71 = 920.26 : x
  2. Step 2: Convert to fraction form
    3,111.35/4,667.71 = 920.26/x
  3. Step 3: Cross multiply
    3,111.35x = 4,667.71 × 920.26
  4. Step 4: Simplify right side
    3,111.35x = 4,295,492.83
  5. Step 5: Solve for x
    x = 4,295,492.83/3,111.35
  6. Step 6: Final answer
    x = 1,380.59

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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.