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Finding the Fourth Proportional to 2,616.76, 3,611.82 and 1,569.16

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Solution

The fourth proportional to 2,616.76, 3,611.82 and 1,569.16 is: 2,165.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,616.76 : 3,611.82 = 1,569.16 : x
  2. Step 2: Convert to fraction form
    2,616.76/3,611.82 = 1,569.16/x
  3. Step 3: Cross multiply
    2,616.76x = 3,611.82 × 1,569.16
  4. Step 4: Simplify right side
    2,616.76x = 5,667,523.47
  5. Step 5: Solve for x
    x = 5,667,523.47/2,616.76
  6. Step 6: Final answer
    x = 2,165.86

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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.