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Finding the Fourth Proportional to 2,648.25, 3,654.72 and 2,248.65

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Solution

The fourth proportional to 2,648.25, 3,654.72 and 2,248.65 is: 3,103.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,648.25 : 3,654.72 = 2,248.65 : x
  2. Step 2: Convert to fraction form
    2,648.25/3,654.72 = 2,248.65/x
  3. Step 3: Cross multiply
    2,648.25x = 3,654.72 × 2,248.65
  4. Step 4: Simplify right side
    2,648.25x = 8,218,186.13
  5. Step 5: Solve for x
    x = 8,218,186.13/2,648.25
  6. Step 6: Final answer
    x = 3,103.25

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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.