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Finding the Fourth Proportional to 3,164.27, 4,748.09 and 1,191.24

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Solution

The fourth proportional to 3,164.27, 4,748.09 and 1,191.24 is: 1,787.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,164.27 : 4,748.09 = 1,191.24 : x
  2. Step 2: Convert to fraction form
    3,164.27/4,748.09 = 1,191.24/x
  3. Step 3: Cross multiply
    3,164.27x = 4,748.09 × 1,191.24
  4. Step 4: Simplify right side
    3,164.27x = 5,656,108.78
  5. Step 5: Solve for x
    x = 5,656,108.78/3,164.27
  6. Step 6: Final answer
    x = 1,787.50

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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.