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Finding the Fourth Proportional to 2,648.10, 3,654.12 and 1,469.15

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Solution

The fourth proportional to 2,648.10, 3,654.12 and 1,469.15 is: 2,027.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,648.10 : 3,654.12 = 1,469.15 : x
  2. Step 2: Convert to fraction form
    2,648.10/3,654.12 = 1,469.15/x
  3. Step 3: Cross multiply
    2,648.10x = 3,654.12 × 1,469.15
  4. Step 4: Simplify right side
    2,648.10x = 5,368,450.40
  5. Step 5: Solve for x
    x = 5,368,450.40/2,648.10
  6. Step 6: Final answer
    x = 2,027.28

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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.