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Finding the Fourth Proportional to 1,617.09, 2,424.87 and 739.33

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Solution

The fourth proportional to 1,617.09, 2,424.87 and 739.33 is: 1,108.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,617.09 : 2,424.87 = 739.33 : x
  2. Step 2: Convert to fraction form
    1,617.09/2,424.87 = 739.33/x
  3. Step 3: Cross multiply
    1,617.09x = 2,424.87 × 739.33
  4. Step 4: Simplify right side
    1,617.09x = 1,792,786.71
  5. Step 5: Solve for x
    x = 1,792,786.71/1,617.09
  6. Step 6: Final answer
    x = 1,108.65

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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.