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Finding the Fourth Proportional to 2,739.64, 4,109.86 and 1,441.20

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Solution

The fourth proportional to 2,739.64, 4,109.86 and 1,441.20 is: 2,162.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,739.64 : 4,109.86 = 1,441.20 : x
  2. Step 2: Convert to fraction form
    2,739.64/4,109.86 = 1,441.20/x
  3. Step 3: Cross multiply
    2,739.64x = 4,109.86 × 1,441.20
  4. Step 4: Simplify right side
    2,739.64x = 5,923,130.23
  5. Step 5: Solve for x
    x = 5,923,130.23/2,739.64
  6. Step 6: Final answer
    x = 2,162.01

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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.