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Finding the Fourth Proportional to 2,820, 4,227.12 and 1,177.44

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Solution

The fourth proportional to 2,820, 4,227.12 and 1,177.44 is: 1,764.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,820 : 4,227.12 = 1,177.44 : x
  2. Step 2: Convert to fraction form
    2,820/4,227.12 = 1,177.44/x
  3. Step 3: Cross multiply
    2,820x = 4,227.12 × 1,177.44
  4. Step 4: Simplify right side
    2,820x = 4,977,180.17
  5. Step 5: Solve for x
    x = 4,977,180.17/2,820
  6. Step 6: Final answer
    x = 1,764.96

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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.