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Finding the Fourth Proportional to 2,806.16, 3,872.36 and 1,563.92

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Solution

The fourth proportional to 2,806.16, 3,872.36 and 1,563.92 is: 2,158.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,806.16 : 3,872.36 = 1,563.92 : x
  2. Step 2: Convert to fraction form
    2,806.16/3,872.36 = 1,563.92/x
  3. Step 3: Cross multiply
    2,806.16x = 3,872.36 × 1,563.92
  4. Step 4: Simplify right side
    2,806.16x = 6,056,061.25
  5. Step 5: Solve for x
    x = 6,056,061.25/2,806.16
  6. Step 6: Final answer
    x = 2,158.13

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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.