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Finding the Fourth Proportional to 2,648.43, 3,972.60 and 674.07

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Solution

The fourth proportional to 2,648.43, 3,972.60 and 674.07 is: 1,011.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,648.43 : 3,972.60 = 674.07 : x
  2. Step 2: Convert to fraction form
    2,648.43/3,972.60 = 674.07/x
  3. Step 3: Cross multiply
    2,648.43x = 3,972.60 × 674.07
  4. Step 4: Simplify right side
    2,648.43x = 2,677,810.48
  5. Step 5: Solve for x
    x = 2,677,810.48/2,648.43
  6. Step 6: Final answer
    x = 1,011.09

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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.