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Finding the Fourth Proportional to 2,134.74, 3,201.84 and 574.87

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Solution

The fourth proportional to 2,134.74, 3,201.84 and 574.87 is: 862.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,134.74 : 3,201.84 = 574.87 : x
  2. Step 2: Convert to fraction form
    2,134.74/3,201.84 = 574.87/x
  3. Step 3: Cross multiply
    2,134.74x = 3,201.84 × 574.87
  4. Step 4: Simplify right side
    2,134.74x = 1,840,633.76
  5. Step 5: Solve for x
    x = 1,840,633.76/2,134.74
  6. Step 6: Final answer
    x = 862.23

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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.