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Finding the Fourth Proportional to 2,153.08, 3,229.97 and 920.50

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Solution

The fourth proportional to 2,153.08, 3,229.97 and 920.50 is: 1,380.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,153.08 : 3,229.97 = 920.50 : x
  2. Step 2: Convert to fraction form
    2,153.08/3,229.97 = 920.50/x
  3. Step 3: Cross multiply
    2,153.08x = 3,229.97 × 920.50
  4. Step 4: Simplify right side
    2,153.08x = 2,973,182.78
  5. Step 5: Solve for x
    x = 2,973,182.78/2,153.08
  6. Step 6: Final answer
    x = 1,380.90

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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.