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Finding the Fourth Proportional to 2,611.34, 3,603.84 and 1,617.20

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Solution

The fourth proportional to 2,611.34, 3,603.84 and 1,617.20 is: 2,231.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,611.34 : 3,603.84 = 1,617.20 : x
  2. Step 2: Convert to fraction form
    2,611.34/3,603.84 = 1,617.20/x
  3. Step 3: Cross multiply
    2,611.34x = 3,603.84 × 1,617.20
  4. Step 4: Simplify right side
    2,611.34x = 5,828,112.03
  5. Step 5: Solve for x
    x = 5,828,112.03/2,611.34
  6. Step 6: Final answer
    x = 2,231.85

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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.