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Finding the Fourth Proportional to 2,844, 4,266.72 and 792

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Solution

The fourth proportional to 2,844, 4,266.72 and 792 is: 1,188.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,844 : 4,266.72 = 792 : x
  2. Step 2: Convert to fraction form
    2,844/4,266.72 = 792/x
  3. Step 3: Cross multiply
    2,844x = 4,266.72 × 792
  4. Step 4: Simplify right side
    2,844x = 3,379,242.24
  5. Step 5: Solve for x
    x = 3,379,242.24/2,844
  6. Step 6: Final answer
    x = 1,188.20

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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.