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Finding the Fourth Proportional to 2,736.96, 3,776.64 and 1,617.76

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Solution

The fourth proportional to 2,736.96, 3,776.64 and 1,617.76 is: 2,232.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,736.96 : 3,776.64 = 1,617.76 : x
  2. Step 2: Convert to fraction form
    2,736.96/3,776.64 = 1,617.76/x
  3. Step 3: Cross multiply
    2,736.96x = 3,776.64 × 1,617.76
  4. Step 4: Simplify right side
    2,736.96x = 6,109,697.13
  5. Step 5: Solve for x
    x = 6,109,697.13/2,736.96
  6. Step 6: Final answer
    x = 2,232.29

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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.