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Finding the Fourth Proportional to 2,121.51, 3,183.18 and 1,026.70

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Solution

The fourth proportional to 2,121.51, 3,183.18 and 1,026.70 is: 1,540.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,121.51 : 3,183.18 = 1,026.70 : x
  2. Step 2: Convert to fraction form
    2,121.51/3,183.18 = 1,026.70/x
  3. Step 3: Cross multiply
    2,121.51x = 3,183.18 × 1,026.70
  4. Step 4: Simplify right side
    2,121.51x = 3,268,170.91
  5. Step 5: Solve for x
    x = 3,268,170.91/2,121.51
  6. Step 6: Final answer
    x = 1,540.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.