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Finding the Fourth Proportional to 2,018, 2,786.32 and 1,626.80

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Solution

The fourth proportional to 2,018, 2,786.32 and 1,626.80 is: 2,246.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,018 : 2,786.32 = 1,626.80 : x
  2. Step 2: Convert to fraction form
    2,018/2,786.32 = 1,626.80/x
  3. Step 3: Cross multiply
    2,018x = 2,786.32 × 1,626.80
  4. Step 4: Simplify right side
    2,018x = 4,532,785.38
  5. Step 5: Solve for x
    x = 4,532,785.38/2,018
  6. Step 6: Final answer
    x = 2,246.18

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Why These Related Problems?

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