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Finding the Fourth Proportional to 1,727.84, 2,589.32 and 1,239.82

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Solution

The fourth proportional to 1,727.84, 2,589.32 and 1,239.82 is: 1,857.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,727.84 : 2,589.32 = 1,239.82 : x
  2. Step 2: Convert to fraction form
    1,727.84/2,589.32 = 1,239.82/x
  3. Step 3: Cross multiply
    1,727.84x = 2,589.32 × 1,239.82
  4. Step 4: Simplify right side
    1,727.84x = 3,210,290.72
  5. Step 5: Solve for x
    x = 3,210,290.72/1,727.84
  6. Step 6: Final answer
    x = 1,857.98

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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.