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Finding the Fourth Proportional to 2,736.48, 3,776.08 and 1,617.84

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Solution

The fourth proportional to 2,736.48, 3,776.08 and 1,617.84 is: 2,232.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,736.48 : 3,776.08 = 1,617.84 : x
  2. Step 2: Convert to fraction form
    2,736.48/3,776.08 = 1,617.84/x
  3. Step 3: Cross multiply
    2,736.48x = 3,776.08 × 1,617.84
  4. Step 4: Simplify right side
    2,736.48x = 6,109,093.27
  5. Step 5: Solve for x
    x = 6,109,093.27/2,736.48
  6. Step 6: Final answer
    x = 2,232.46

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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.