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Finding the Fourth Proportional to 2,099.13, 3,162.92 and 1,741.92

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Solution

The fourth proportional to 2,099.13, 3,162.92 and 1,741.92 is: 2,624.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,099.13 : 3,162.92 = 1,741.92 : x
  2. Step 2: Convert to fraction form
    2,099.13/3,162.92 = 1,741.92/x
  3. Step 3: Cross multiply
    2,099.13x = 3,162.92 × 1,741.92
  4. Step 4: Simplify right side
    2,099.13x = 5,509,544.90
  5. Step 5: Solve for x
    x = 5,509,544.90/2,099.13
  6. Step 6: Final answer
    x = 2,624.68

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.