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Finding the Fourth Proportional to 2,064.89, 2,849.55 and 1,226

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Solution

The fourth proportional to 2,064.89, 2,849.55 and 1,226 is: 1,691.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,064.89 : 2,849.55 = 1,226 : x
  2. Step 2: Convert to fraction form
    2,064.89/2,849.55 = 1,226/x
  3. Step 3: Cross multiply
    2,064.89x = 2,849.55 × 1,226
  4. Step 4: Simplify right side
    2,064.89x = 3,493,548.30
  5. Step 5: Solve for x
    x = 3,493,548.30/2,064.89
  6. Step 6: Final answer
    x = 1,691.88

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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.