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Finding the Fourth Proportional to 1,395.92, 2,099.64 and 1,223.12

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Solution

The fourth proportional to 1,395.92, 2,099.64 and 1,223.12 is: 1,839.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,395.92 : 2,099.64 = 1,223.12 : x
  2. Step 2: Convert to fraction form
    1,395.92/2,099.64 = 1,223.12/x
  3. Step 3: Cross multiply
    1,395.92x = 2,099.64 × 1,223.12
  4. Step 4: Simplify right side
    1,395.92x = 2,568,111.68
  5. Step 5: Solve for x
    x = 2,568,111.68/1,395.92
  6. Step 6: Final answer
    x = 1,839.73

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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.