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Finding the Fourth Proportional to 2,469.88, 3,706.14 and 1,648.60

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Solution

The fourth proportional to 2,469.88, 3,706.14 and 1,648.60 is: 2,473.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,469.88 : 3,706.14 = 1,648.60 : x
  2. Step 2: Convert to fraction form
    2,469.88/3,706.14 = 1,648.60/x
  3. Step 3: Cross multiply
    2,469.88x = 3,706.14 × 1,648.60
  4. Step 4: Simplify right side
    2,469.88x = 6,109,942.40
  5. Step 5: Solve for x
    x = 6,109,942.40/2,469.88
  6. Step 6: Final answer
    x = 2,473.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.