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Finding the Fourth Proportional to 1,851.38, 2,777.47 and 863.46

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Solution

The fourth proportional to 1,851.38, 2,777.47 and 863.46 is: 1,295.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,851.38 : 2,777.47 = 863.46 : x
  2. Step 2: Convert to fraction form
    1,851.38/2,777.47 = 863.46/x
  3. Step 3: Cross multiply
    1,851.38x = 2,777.47 × 863.46
  4. Step 4: Simplify right side
    1,851.38x = 2,398,234.25
  5. Step 5: Solve for x
    x = 2,398,234.25/1,851.38
  6. Step 6: Final answer
    x = 1,295.38

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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.