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Finding the Fourth Proportional to 3,201.24, 4,419.24 and 1,874.52

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Solution

The fourth proportional to 3,201.24, 4,419.24 and 1,874.52 is: 2,587.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,201.24 : 4,419.24 = 1,874.52 : x
  2. Step 2: Convert to fraction form
    3,201.24/4,419.24 = 1,874.52/x
  3. Step 3: Cross multiply
    3,201.24x = 4,419.24 × 1,874.52
  4. Step 4: Simplify right side
    3,201.24x = 8,283,953.76
  5. Step 5: Solve for x
    x = 8,283,953.76/3,201.24
  6. Step 6: Final answer
    x = 2,587.73

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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.