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Finding the Fourth Proportional to 2,139.18, 3,208.29 and 579.32

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Solution

The fourth proportional to 2,139.18, 3,208.29 and 579.32 is: 868.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,139.18 : 3,208.29 = 579.32 : x
  2. Step 2: Convert to fraction form
    2,139.18/3,208.29 = 579.32/x
  3. Step 3: Cross multiply
    2,139.18x = 3,208.29 × 579.32
  4. Step 4: Simplify right side
    2,139.18x = 1,858,641.69
  5. Step 5: Solve for x
    x = 1,858,641.69/2,139.18
  6. Step 6: Final answer
    x = 868.86

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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.