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Finding the Fourth Proportional to 2,204.67, 3,302.59 and 1,326.68

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Solution

The fourth proportional to 2,204.67, 3,302.59 and 1,326.68 is: 1,987.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,204.67 : 3,302.59 = 1,326.68 : x
  2. Step 2: Convert to fraction form
    2,204.67/3,302.59 = 1,326.68/x
  3. Step 3: Cross multiply
    2,204.67x = 3,302.59 × 1,326.68
  4. Step 4: Simplify right side
    2,204.67x = 4,381,480.10
  5. Step 5: Solve for x
    x = 4,381,480.10/2,204.67
  6. Step 6: Final answer
    x = 1,987.37

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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.