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Finding the Fourth Proportional to 2,355.86, 3,249.78 and 1,727.84

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Solution

The fourth proportional to 2,355.86, 3,249.78 and 1,727.84 is: 2,383.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,355.86 : 3,249.78 = 1,727.84 : x
  2. Step 2: Convert to fraction form
    2,355.86/3,249.78 = 1,727.84/x
  3. Step 3: Cross multiply
    2,355.86x = 3,249.78 × 1,727.84
  4. Step 4: Simplify right side
    2,355.86x = 5,615,099.88
  5. Step 5: Solve for x
    x = 5,615,099.88/2,355.86
  6. Step 6: Final answer
    x = 2,383.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.