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Finding the Fourth Proportional to 2,139.39, 3,209.07 and 600.39

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Solution

The fourth proportional to 2,139.39, 3,209.07 and 600.39 is: 900.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,139.39 : 3,209.07 = 600.39 : x
  2. Step 2: Convert to fraction form
    2,139.39/3,209.07 = 600.39/x
  3. Step 3: Cross multiply
    2,139.39x = 3,209.07 × 600.39
  4. Step 4: Simplify right side
    2,139.39x = 1,926,693.54
  5. Step 5: Solve for x
    x = 1,926,693.54/2,139.39
  6. Step 6: Final answer
    x = 900.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.