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Finding the Fourth Proportional to 3,404.06, 4,694.49 and 2,207.80

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Solution

The fourth proportional to 3,404.06, 4,694.49 and 2,207.80 is: 3,044.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,404.06 : 4,694.49 = 2,207.80 : x
  2. Step 2: Convert to fraction form
    3,404.06/4,694.49 = 2,207.80/x
  3. Step 3: Cross multiply
    3,404.06x = 4,694.49 × 2,207.80
  4. Step 4: Simplify right side
    3,404.06x = 10,364,495.02
  5. Step 5: Solve for x
    x = 10,364,495.02/3,404.06
  6. Step 6: Final answer
    x = 3,044.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.