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Finding the Fourth Proportional to 3,013.64, 4,517.00 and 1,163.95

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Solution

The fourth proportional to 3,013.64, 4,517.00 and 1,163.95 is: 1,744.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,013.64 : 4,517.00 = 1,163.95 : x
  2. Step 2: Convert to fraction form
    3,013.64/4,517.00 = 1,163.95/x
  3. Step 3: Cross multiply
    3,013.64x = 4,517.00 × 1,163.95
  4. Step 4: Simplify right side
    3,013.64x = 5,257,549.40
  5. Step 5: Solve for x
    x = 5,257,549.40/3,013.64
  6. Step 6: Final answer
    x = 1,744.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.