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Finding the Fourth Proportional to 2,758.16, 3,806.44 and 1,563.13

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Solution

The fourth proportional to 2,758.16, 3,806.44 and 1,563.13 is: 2,157.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,758.16 : 3,806.44 = 1,563.13 : x
  2. Step 2: Convert to fraction form
    2,758.16/3,806.44 = 1,563.13/x
  3. Step 3: Cross multiply
    2,758.16x = 3,806.44 × 1,563.13
  4. Step 4: Simplify right side
    2,758.16x = 5,949,960.56
  5. Step 5: Solve for x
    x = 5,949,960.56/2,758.16
  6. Step 6: Final answer
    x = 2,157.22

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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.