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Finding the Fourth Proportional to 2,736.44, 3,776.57 and 1,617.74

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Solution

The fourth proportional to 2,736.44, 3,776.57 and 1,617.74 is: 2,232.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,736.44 : 3,776.57 = 1,617.74 : x
  2. Step 2: Convert to fraction form
    2,736.44/3,776.57 = 1,617.74/x
  3. Step 3: Cross multiply
    2,736.44x = 3,776.57 × 1,617.74
  4. Step 4: Simplify right side
    2,736.44x = 6,109,500.26
  5. Step 5: Solve for x
    x = 6,109,500.26/2,736.44
  6. Step 6: Final answer
    x = 2,232.65

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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.