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Finding the Fourth Proportional to 2,617.60, 3,611.36 and 1,569.28

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Solution

The fourth proportional to 2,617.60, 3,611.36 and 1,569.28 is: 2,165.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,617.60 : 3,611.36 = 1,569.28 : x
  2. Step 2: Convert to fraction form
    2,617.60/3,611.36 = 1,569.28/x
  3. Step 3: Cross multiply
    2,617.60x = 3,611.36 × 1,569.28
  4. Step 4: Simplify right side
    2,617.60x = 5,667,235.02
  5. Step 5: Solve for x
    x = 5,667,235.02/2,617.60
  6. Step 6: Final answer
    x = 2,165.05

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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.