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Finding the Fourth Proportional to 2,735.10, 3,773.48 and 2,469.96

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Solution

The fourth proportional to 2,735.10, 3,773.48 and 2,469.96 is: 3,407.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,735.10 : 3,773.48 = 2,469.96 : x
  2. Step 2: Convert to fraction form
    2,735.10/3,773.48 = 2,469.96/x
  3. Step 3: Cross multiply
    2,735.10x = 3,773.48 × 2,469.96
  4. Step 4: Simplify right side
    2,735.10x = 9,320,332.31
  5. Step 5: Solve for x
    x = 9,320,332.31/2,735.10
  6. Step 6: Final answer
    x = 3,407.68

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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.