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Finding the Fourth Proportional to 2,139.36, 3,208.68 and 600

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Solution

The fourth proportional to 2,139.36, 3,208.68 and 600 is: 899.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,139.36 : 3,208.68 = 600 : x
  2. Step 2: Convert to fraction form
    2,139.36/3,208.68 = 600/x
  3. Step 3: Cross multiply
    2,139.36x = 3,208.68 × 600
  4. Step 4: Simplify right side
    2,139.36x = 1,925,208
  5. Step 5: Solve for x
    x = 1,925,208/2,139.36
  6. Step 6: Final answer
    x = 899.90

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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.