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Finding the Fourth Proportional to 2,099.09, 3,148.62 and 539.09

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Solution

The fourth proportional to 2,099.09, 3,148.62 and 539.09 is: 808.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,099.09 : 3,148.62 = 539.09 : x
  2. Step 2: Convert to fraction form
    2,099.09/3,148.62 = 539.09/x
  3. Step 3: Cross multiply
    2,099.09x = 3,148.62 × 539.09
  4. Step 4: Simplify right side
    2,099.09x = 1,697,389.56
  5. Step 5: Solve for x
    x = 1,697,389.56/2,099.09
  6. Step 6: Final answer
    x = 808.63

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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.