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Finding the Fourth Proportional to 1,648.19, 2,469.59 and 996.95

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Solution

The fourth proportional to 1,648.19, 2,469.59 and 996.95 is: 1,493.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,648.19 : 2,469.59 = 996.95 : x
  2. Step 2: Convert to fraction form
    1,648.19/2,469.59 = 996.95/x
  3. Step 3: Cross multiply
    1,648.19x = 2,469.59 × 996.95
  4. Step 4: Simplify right side
    1,648.19x = 2,462,052.77
  5. Step 5: Solve for x
    x = 2,462,052.77/1,648.19
  6. Step 6: Final answer
    x = 1,493.79

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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.