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Finding the Fourth Proportional to 2,751.14, 3,796.58 and 1,572.90

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Solution

The fourth proportional to 2,751.14, 3,796.58 and 1,572.90 is: 2,170.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,751.14 : 3,796.58 = 1,572.90 : x
  2. Step 2: Convert to fraction form
    2,751.14/3,796.58 = 1,572.90/x
  3. Step 3: Cross multiply
    2,751.14x = 3,796.58 × 1,572.90
  4. Step 4: Simplify right side
    2,751.14x = 5,971,640.68
  5. Step 5: Solve for x
    x = 5,971,640.68/2,751.14
  6. Step 6: Final answer
    x = 2,170.61

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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.