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Finding the Fourth Proportional to 2,648.42, 3,654.94 and 1,469.50

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Solution

The fourth proportional to 2,648.42, 3,654.94 and 1,469.50 is: 2,027.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,648.42 : 3,654.94 = 1,469.50 : x
  2. Step 2: Convert to fraction form
    2,648.42/3,654.94 = 1,469.50/x
  3. Step 3: Cross multiply
    2,648.42x = 3,654.94 × 1,469.50
  4. Step 4: Simplify right side
    2,648.42x = 5,370,934.33
  5. Step 5: Solve for x
    x = 5,370,934.33/2,648.42
  6. Step 6: Final answer
    x = 2,027.98

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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.