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Finding the Fourth Proportional to 2,047.17, 2,825.10 and 1,163.27

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Solution

The fourth proportional to 2,047.17, 2,825.10 and 1,163.27 is: 1,605.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,047.17 : 2,825.10 = 1,163.27 : x
  2. Step 2: Convert to fraction form
    2,047.17/2,825.10 = 1,163.27/x
  3. Step 3: Cross multiply
    2,047.17x = 2,825.10 × 1,163.27
  4. Step 4: Simplify right side
    2,047.17x = 3,286,339.95
  5. Step 5: Solve for x
    x = 3,286,339.95/2,047.17
  6. Step 6: Final answer
    x = 1,605.31

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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.