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Finding the Fourth Proportional to 2,744.53, 4,118.73 and 1,101.49

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Solution

The fourth proportional to 2,744.53, 4,118.73 and 1,101.49 is: 1,653.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,744.53 : 4,118.73 = 1,101.49 : x
  2. Step 2: Convert to fraction form
    2,744.53/4,118.73 = 1,101.49/x
  3. Step 3: Cross multiply
    2,744.53x = 4,118.73 × 1,101.49
  4. Step 4: Simplify right side
    2,744.53x = 4,536,739.91
  5. Step 5: Solve for x
    x = 4,536,739.91/2,744.53
  6. Step 6: Final answer
    x = 1,653.01

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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.