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Finding the Fourth Proportional to 2,796.75, 3,859.60 and 1,537.74

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Solution

The fourth proportional to 2,796.75, 3,859.60 and 1,537.74 is: 2,122.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,796.75 : 3,859.60 = 1,537.74 : x
  2. Step 2: Convert to fraction form
    2,796.75/3,859.60 = 1,537.74/x
  3. Step 3: Cross multiply
    2,796.75x = 3,859.60 × 1,537.74
  4. Step 4: Simplify right side
    2,796.75x = 5,935,057.46
  5. Step 5: Solve for x
    x = 5,935,057.46/2,796.75
  6. Step 6: Final answer
    x = 2,122.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.