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Finding the Fourth Proportional to 2,099.27, 3,149.05 and 712.04

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Solution

The fourth proportional to 2,099.27, 3,149.05 and 712.04 is: 1,068.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,099.27 : 3,149.05 = 712.04 : x
  2. Step 2: Convert to fraction form
    2,099.27/3,149.05 = 712.04/x
  3. Step 3: Cross multiply
    2,099.27x = 3,149.05 × 712.04
  4. Step 4: Simplify right side
    2,099.27x = 2,242,253.09
  5. Step 5: Solve for x
    x = 2,242,253.09/2,099.27
  6. Step 6: Final answer
    x = 1,068.11

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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.