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Finding the Fourth Proportional to 2,204.76, 3,291.96 and 1,794.66

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Solution

The fourth proportional to 2,204.76, 3,291.96 and 1,794.66 is: 2,679.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,204.76 : 3,291.96 = 1,794.66 : x
  2. Step 2: Convert to fraction form
    2,204.76/3,291.96 = 1,794.66/x
  3. Step 3: Cross multiply
    2,204.76x = 3,291.96 × 1,794.66
  4. Step 4: Simplify right side
    2,204.76x = 5,907,948.93
  5. Step 5: Solve for x
    x = 5,907,948.93/2,204.76
  6. Step 6: Final answer
    x = 2,679.63

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.