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Finding the Fourth Proportional to 2,750.80, 3,796.95 and 1,572.64

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Solution

The fourth proportional to 2,750.80, 3,796.95 and 1,572.64 is: 2,170.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,750.80 : 3,796.95 = 1,572.64 : x
  2. Step 2: Convert to fraction form
    2,750.80/3,796.95 = 1,572.64/x
  3. Step 3: Cross multiply
    2,750.80x = 3,796.95 × 1,572.64
  4. Step 4: Simplify right side
    2,750.80x = 5,971,235.45
  5. Step 5: Solve for x
    x = 5,971,235.45/2,750.80
  6. Step 6: Final answer
    x = 2,170.73

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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.