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Finding the Fourth Proportional to 2,157.09, 3,233.10 and 2,134

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Solution

The fourth proportional to 2,157.09, 3,233.10 and 2,134 is: 3,198.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,157.09 : 3,233.10 = 2,134 : x
  2. Step 2: Convert to fraction form
    2,157.09/3,233.10 = 2,134/x
  3. Step 3: Cross multiply
    2,157.09x = 3,233.10 × 2,134
  4. Step 4: Simplify right side
    2,157.09x = 6,899,435.40
  5. Step 5: Solve for x
    x = 6,899,435.40/2,157.09
  6. Step 6: Final answer
    x = 3,198.49

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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.