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Finding the Fourth Proportional to 2,747.64, 4,121.86 and 1,449.20

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Solution

The fourth proportional to 2,747.64, 4,121.86 and 1,449.20 is: 2,174.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,747.64 : 4,121.86 = 1,449.20 : x
  2. Step 2: Convert to fraction form
    2,747.64/4,121.86 = 1,449.20/x
  3. Step 3: Cross multiply
    2,747.64x = 4,121.86 × 1,449.20
  4. Step 4: Simplify right side
    2,747.64x = 5,973,399.51
  5. Step 5: Solve for x
    x = 5,973,399.51/2,747.64
  6. Step 6: Final answer
    x = 2,174.01

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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.