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Finding the Fourth Proportional to 3,111.53, 4,667.24 and 920.27

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Solution

The fourth proportional to 3,111.53, 4,667.24 and 920.27 is: 1,380.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,111.53 : 4,667.24 = 920.27 : x
  2. Step 2: Convert to fraction form
    3,111.53/4,667.24 = 920.27/x
  3. Step 3: Cross multiply
    3,111.53x = 4,667.24 × 920.27
  4. Step 4: Simplify right side
    3,111.53x = 4,295,093.02
  5. Step 5: Solve for x
    x = 4,295,093.02/3,111.53
  6. Step 6: Final answer
    x = 1,380.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.