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Finding the Fourth Proportional to 1,717.40, 2,351.03 and 1,661.51

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Solution

The fourth proportional to 1,717.40, 2,351.03 and 1,661.51 is: 2,274.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,717.40 : 2,351.03 = 1,661.51 : x
  2. Step 2: Convert to fraction form
    1,717.40/2,351.03 = 1,661.51/x
  3. Step 3: Cross multiply
    1,717.40x = 2,351.03 × 1,661.51
  4. Step 4: Simplify right side
    1,717.40x = 3,906,257.43
  5. Step 5: Solve for x
    x = 3,906,257.43/1,717.40
  6. Step 6: Final answer
    x = 2,274.51

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.