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Finding the Fourth Proportional to 2,736.16, 3,777.18 and 2,064.24

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Solution

The fourth proportional to 2,736.16, 3,777.18 and 2,064.24 is: 2,849.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,736.16 : 3,777.18 = 2,064.24 : x
  2. Step 2: Convert to fraction form
    2,736.16/3,777.18 = 2,064.24/x
  3. Step 3: Cross multiply
    2,736.16x = 3,777.18 × 2,064.24
  4. Step 4: Simplify right side
    2,736.16x = 7,797,006.04
  5. Step 5: Solve for x
    x = 7,797,006.04/2,736.16
  6. Step 6: Final answer
    x = 2,849.62

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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.