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Finding the Fourth Proportional to 2,751.64, 3,797.94 and 1,572.70

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Solution

The fourth proportional to 2,751.64, 3,797.94 and 1,572.70 is: 2,170.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,751.64 : 3,797.94 = 1,572.70 : x
  2. Step 2: Convert to fraction form
    2,751.64/3,797.94 = 1,572.70/x
  3. Step 3: Cross multiply
    2,751.64x = 3,797.94 × 1,572.70
  4. Step 4: Simplify right side
    2,751.64x = 5,973,020.24
  5. Step 5: Solve for x
    x = 5,973,020.24/2,751.64
  6. Step 6: Final answer
    x = 2,170.71

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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.