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Finding the Fourth Proportional to 2,469.67, 3,405.59 and 2,116.82

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Solution

The fourth proportional to 2,469.67, 3,405.59 and 2,116.82 is: 2,919.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,469.67 : 3,405.59 = 2,116.82 : x
  2. Step 2: Convert to fraction form
    2,469.67/3,405.59 = 2,116.82/x
  3. Step 3: Cross multiply
    2,469.67x = 3,405.59 × 2,116.82
  4. Step 4: Simplify right side
    2,469.67x = 7,209,021.02
  5. Step 5: Solve for x
    x = 7,209,021.02/2,469.67
  6. Step 6: Final answer
    x = 2,919.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.