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Finding the Fourth Proportional to 2,744.55, 3,788.10 and 1,749.06

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Solution

The fourth proportional to 2,744.55, 3,788.10 and 1,749.06 is: 2,414.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,744.55 : 3,788.10 = 1,749.06 : x
  2. Step 2: Convert to fraction form
    2,744.55/3,788.10 = 1,749.06/x
  3. Step 3: Cross multiply
    2,744.55x = 3,788.10 × 1,749.06
  4. Step 4: Simplify right side
    2,744.55x = 6,625,614.19
  5. Step 5: Solve for x
    x = 6,625,614.19/2,744.55
  6. Step 6: Final answer
    x = 2,414.10

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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.