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Finding the Fourth Proportional to 2,744.16, 3,786.96 and 1,502.16

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Solution

The fourth proportional to 2,744.16, 3,786.96 and 1,502.16 is: 2,072.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,744.16 : 3,786.96 = 1,502.16 : x
  2. Step 2: Convert to fraction form
    2,744.16/3,786.96 = 1,502.16/x
  3. Step 3: Cross multiply
    2,744.16x = 3,786.96 × 1,502.16
  4. Step 4: Simplify right side
    2,744.16x = 5,688,619.83
  5. Step 5: Solve for x
    x = 5,688,619.83/2,744.16
  6. Step 6: Final answer
    x = 2,072.99

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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.