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Finding the Fourth Proportional to 2,269.78, 3,404.03 and 808.74

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Solution

The fourth proportional to 2,269.78, 3,404.03 and 808.74 is: 1,212.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,269.78 : 3,404.03 = 808.74 : x
  2. Step 2: Convert to fraction form
    2,269.78/3,404.03 = 808.74/x
  3. Step 3: Cross multiply
    2,269.78x = 3,404.03 × 808.74
  4. Step 4: Simplify right side
    2,269.78x = 2,752,971.18
  5. Step 5: Solve for x
    x = 2,752,971.18/2,269.78
  6. Step 6: Final answer
    x = 1,212.88

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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.