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Finding the Fourth Proportional to 1,847.52, 2,769.32 and 921.26

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Solution

The fourth proportional to 1,847.52, 2,769.32 and 921.26 is: 1,380.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,847.52 : 2,769.32 = 921.26 : x
  2. Step 2: Convert to fraction form
    1,847.52/2,769.32 = 921.26/x
  3. Step 3: Cross multiply
    1,847.52x = 2,769.32 × 921.26
  4. Step 4: Simplify right side
    1,847.52x = 2,551,245.29
  5. Step 5: Solve for x
    x = 2,551,245.29/1,847.52
  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.