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Finding the Fourth Proportional to 2,739.32, 3,778.34 and 1,744.86

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Solution

The fourth proportional to 2,739.32, 3,778.34 and 1,744.86 is: 2,406.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,739.32 : 3,778.34 = 1,744.86 : x
  2. Step 2: Convert to fraction form
    2,739.32/3,778.34 = 1,744.86/x
  3. Step 3: Cross multiply
    2,739.32x = 3,778.34 × 1,744.86
  4. Step 4: Simplify right side
    2,739.32x = 6,592,674.33
  5. Step 5: Solve for x
    x = 6,592,674.33/2,739.32
  6. Step 6: Final answer
    x = 2,406.68

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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.