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Finding the Fourth Proportional to 2,134.99, 3,202.21 and 575.12

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Solution

The fourth proportional to 2,134.99, 3,202.21 and 575.12 is: 862.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,134.99 : 3,202.21 = 575.12 : x
  2. Step 2: Convert to fraction form
    2,134.99/3,202.21 = 575.12/x
  3. Step 3: Cross multiply
    2,134.99x = 3,202.21 × 575.12
  4. Step 4: Simplify right side
    2,134.99x = 1,841,655.02
  5. Step 5: Solve for x
    x = 1,841,655.02/2,134.99
  6. Step 6: Final answer
    x = 862.61

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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.