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Finding the Fourth Proportional to 1,739.11, 2,608.82 and 440.58

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Solution

The fourth proportional to 1,739.11, 2,608.82 and 440.58 is: 660.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,739.11 : 2,608.82 = 440.58 : x
  2. Step 2: Convert to fraction form
    1,739.11/2,608.82 = 440.58/x
  3. Step 3: Cross multiply
    1,739.11x = 2,608.82 × 440.58
  4. Step 4: Simplify right side
    1,739.11x = 1,149,387.23
  5. Step 5: Solve for x
    x = 1,149,387.23/1,739.11
  6. Step 6: Final answer
    x = 660.91

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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.