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Finding the Fourth Proportional to 2,208.09, 3,293.53 and 2,055

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Solution

The fourth proportional to 2,208.09, 3,293.53 and 2,055 is: 3,065.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,208.09 : 3,293.53 = 2,055 : x
  2. Step 2: Convert to fraction form
    2,208.09/3,293.53 = 2,055/x
  3. Step 3: Cross multiply
    2,208.09x = 3,293.53 × 2,055
  4. Step 4: Simplify right side
    2,208.09x = 6,768,204.15
  5. Step 5: Solve for x
    x = 6,768,204.15/2,208.09
  6. Step 6: Final answer
    x = 3,065.18

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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.