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Finding the Fourth Proportional to 2,139.50, 3,209.38 and 600.62

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Solution

The fourth proportional to 2,139.50, 3,209.38 and 600.62 is: 900.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,139.50 : 3,209.38 = 600.62 : x
  2. Step 2: Convert to fraction form
    2,139.50/3,209.38 = 600.62/x
  3. Step 3: Cross multiply
    2,139.50x = 3,209.38 × 600.62
  4. Step 4: Simplify right side
    2,139.50x = 1,927,617.82
  5. Step 5: Solve for x
    x = 1,927,617.82/2,139.50
  6. Step 6: Final answer
    x = 900.97

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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.