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Finding the Fourth Proportional to 2,206.48, 3,310.80 and 1,329.22

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Solution

The fourth proportional to 2,206.48, 3,310.80 and 1,329.22 is: 1,994.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,206.48 : 3,310.80 = 1,329.22 : x
  2. Step 2: Convert to fraction form
    2,206.48/3,310.80 = 1,329.22/x
  3. Step 3: Cross multiply
    2,206.48x = 3,310.80 × 1,329.22
  4. Step 4: Simplify right side
    2,206.48x = 4,400,781.58
  5. Step 5: Solve for x
    x = 4,400,781.58/2,206.48
  6. Step 6: Final answer
    x = 1,994.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.