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Finding the Fourth Proportional to 2,122.43, 3,181.97 and 1,026.50

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Solution

The fourth proportional to 2,122.43, 3,181.97 and 1,026.50 is: 1,538.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,122.43 : 3,181.97 = 1,026.50 : x
  2. Step 2: Convert to fraction form
    2,122.43/3,181.97 = 1,026.50/x
  3. Step 3: Cross multiply
    2,122.43x = 3,181.97 × 1,026.50
  4. Step 4: Simplify right side
    2,122.43x = 3,266,278.86
  5. Step 5: Solve for x
    x = 3,266,278.86/2,122.43
  6. Step 6: Final answer
    x = 1,538.94

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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.