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Finding the Fourth Proportional to 2,710.94, 3,744.53 and 2,003.81

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Solution

The fourth proportional to 2,710.94, 3,744.53 and 2,003.81 is: 2,767.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,710.94 : 3,744.53 = 2,003.81 : x
  2. Step 2: Convert to fraction form
    2,710.94/3,744.53 = 2,003.81/x
  3. Step 3: Cross multiply
    2,710.94x = 3,744.53 × 2,003.81
  4. Step 4: Simplify right side
    2,710.94x = 7,503,305.43
  5. Step 5: Solve for x
    x = 7,503,305.43/2,710.94
  6. Step 6: Final answer
    x = 2,767.79

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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.