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Finding the Fourth Proportional to 2,695.89, 3,716.10 and 2,469.90

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Solution

The fourth proportional to 2,695.89, 3,716.10 and 2,469.90 is: 3,404.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,695.89 : 3,716.10 = 2,469.90 : x
  2. Step 2: Convert to fraction form
    2,695.89/3,716.10 = 2,469.90/x
  3. Step 3: Cross multiply
    2,695.89x = 3,716.10 × 2,469.90
  4. Step 4: Simplify right side
    2,695.89x = 9,178,395.39
  5. Step 5: Solve for x
    x = 9,178,395.39/2,695.89
  6. Step 6: Final answer
    x = 3,404.59

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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.