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Finding the Fourth Proportional to 2,099.59, 3,149.33 and 539.56

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Solution

The fourth proportional to 2,099.59, 3,149.33 and 539.56 is: 809.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,099.59 : 3,149.33 = 539.56 : x
  2. Step 2: Convert to fraction form
    2,099.59/3,149.33 = 539.56/x
  3. Step 3: Cross multiply
    2,099.59x = 3,149.33 × 539.56
  4. Step 4: Simplify right side
    2,099.59x = 1,699,252.49
  5. Step 5: Solve for x
    x = 1,699,252.49/2,099.59
  6. Step 6: Final answer
    x = 809.33

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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.