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Finding the Fourth Proportional to 2,209.97, 3,314.25 and 2,064.38

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Solution

The fourth proportional to 2,209.97, 3,314.25 and 2,064.38 is: 3,095.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,209.97 : 3,314.25 = 2,064.38 : x
  2. Step 2: Convert to fraction form
    2,209.97/3,314.25 = 2,064.38/x
  3. Step 3: Cross multiply
    2,209.97x = 3,314.25 × 2,064.38
  4. Step 4: Simplify right side
    2,209.97x = 6,841,854.84
  5. Step 5: Solve for x
    x = 6,841,854.84/2,209.97
  6. Step 6: Final answer
    x = 3,095.90

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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.