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Finding the Fourth Proportional to 1,727.97, 2,589.93 and 906.63

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Solution

The fourth proportional to 1,727.97, 2,589.93 and 906.63 is: 1,358.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,727.97 : 2,589.93 = 906.63 : x
  2. Step 2: Convert to fraction form
    1,727.97/2,589.93 = 906.63/x
  3. Step 3: Cross multiply
    1,727.97x = 2,589.93 × 906.63
  4. Step 4: Simplify right side
    1,727.97x = 2,348,108.24
  5. Step 5: Solve for x
    x = 2,348,108.24/1,727.97
  6. Step 6: Final answer
    x = 1,358.88

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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.