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Finding the Fourth Proportional to 2,139.87, 3,209.63 and 579.95

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Solution

The fourth proportional to 2,139.87, 3,209.63 and 579.95 is: 869.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,139.87 : 3,209.63 = 579.95 : x
  2. Step 2: Convert to fraction form
    2,139.87/3,209.63 = 579.95/x
  3. Step 3: Cross multiply
    2,139.87x = 3,209.63 × 579.95
  4. Step 4: Simplify right side
    2,139.87x = 1,861,408.87
  5. Step 5: Solve for x
    x = 1,861,408.87/2,139.87
  6. Step 6: Final answer
    x = 869.87

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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.