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Finding the Fourth Proportional to 2,611.72, 3,605.08 and 1,563.78

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Solution

The fourth proportional to 2,611.72, 3,605.08 and 1,563.78 is: 2,158.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,611.72 : 3,605.08 = 1,563.78 : x
  2. Step 2: Convert to fraction form
    2,611.72/3,605.08 = 1,563.78/x
  3. Step 3: Cross multiply
    2,611.72x = 3,605.08 × 1,563.78
  4. Step 4: Simplify right side
    2,611.72x = 5,637,552.00
  5. Step 5: Solve for x
    x = 5,637,552.00/2,611.72
  6. Step 6: Final answer
    x = 2,158.56

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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.