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Finding the Fourth Proportional to 2,018.22, 2,785.83 and 1,388.22

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Solution

The fourth proportional to 2,018.22, 2,785.83 and 1,388.22 is: 1,916.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,018.22 : 2,785.83 = 1,388.22 : x
  2. Step 2: Convert to fraction form
    2,018.22/2,785.83 = 1,388.22/x
  3. Step 3: Cross multiply
    2,018.22x = 2,785.83 × 1,388.22
  4. Step 4: Simplify right side
    2,018.22x = 3,867,344.92
  5. Step 5: Solve for x
    x = 3,867,344.92/2,018.22
  6. Step 6: Final answer
    x = 1,916.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.