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Finding the Fourth Proportional to 1,744.02, 2,614.82 and 648.09

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Solution

The fourth proportional to 1,744.02, 2,614.82 and 648.09 is: 971.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,744.02 : 2,614.82 = 648.09 : x
  2. Step 2: Convert to fraction form
    1,744.02/2,614.82 = 648.09/x
  3. Step 3: Cross multiply
    1,744.02x = 2,614.82 × 648.09
  4. Step 4: Simplify right side
    1,744.02x = 1,694,635.45
  5. Step 5: Solve for x
    x = 1,694,635.45/1,744.02
  6. Step 6: Final answer
    x = 971.68

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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.