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Finding the Fourth Proportional to 1,727.68, 2,592.74 and 1,180.39

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Solution

The fourth proportional to 1,727.68, 2,592.74 and 1,180.39 is: 1,771.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,727.68 : 2,592.74 = 1,180.39 : x
  2. Step 2: Convert to fraction form
    1,727.68/2,592.74 = 1,180.39/x
  3. Step 3: Cross multiply
    1,727.68x = 2,592.74 × 1,180.39
  4. Step 4: Simplify right side
    1,727.68x = 3,060,444.37
  5. Step 5: Solve for x
    x = 3,060,444.37/1,727.68
  6. Step 6: Final answer
    x = 1,771.42

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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.