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Finding the Fourth Proportional to 2,099.43, 3,148.86 and 712.71

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Solution

The fourth proportional to 2,099.43, 3,148.86 and 712.71 is: 1,068.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,099.43 : 3,148.86 = 712.71 : x
  2. Step 2: Convert to fraction form
    2,099.43/3,148.86 = 712.71/x
  3. Step 3: Cross multiply
    2,099.43x = 3,148.86 × 712.71
  4. Step 4: Simplify right side
    2,099.43x = 2,244,224.01
  5. Step 5: Solve for x
    x = 2,244,224.01/2,099.43
  6. Step 6: Final answer
    x = 1,068.97

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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.