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Finding the Fourth Proportional to 2,099.35, 3,149.02 and 2,053.22

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Solution

The fourth proportional to 2,099.35, 3,149.02 and 2,053.22 is: 3,079.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,099.35 : 3,149.02 = 2,053.22 : x
  2. Step 2: Convert to fraction form
    2,099.35/3,149.02 = 2,053.22/x
  3. Step 3: Cross multiply
    2,099.35x = 3,149.02 × 2,053.22
  4. Step 4: Simplify right side
    2,099.35x = 6,465,630.84
  5. Step 5: Solve for x
    x = 6,465,630.84/2,099.35
  6. Step 6: Final answer
    x = 3,079.83

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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.