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Finding the Fourth Proportional to 2,208.80, 3,317.76 and 2,134.96

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Solution

The fourth proportional to 2,208.80, 3,317.76 and 2,134.96 is: 3,206.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,208.80 : 3,317.76 = 2,134.96 : x
  2. Step 2: Convert to fraction form
    2,208.80/3,317.76 = 2,134.96/x
  3. Step 3: Cross multiply
    2,208.80x = 3,317.76 × 2,134.96
  4. Step 4: Simplify right side
    2,208.80x = 7,083,284.89
  5. Step 5: Solve for x
    x = 7,083,284.89/2,208.80
  6. Step 6: Final answer
    x = 3,206.85

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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.