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Finding the Fourth Proportional to 2,047.62, 2,825.80 and 1,163.40

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Solution

The fourth proportional to 2,047.62, 2,825.80 and 1,163.40 is: 1,605.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,047.62 : 2,825.80 = 1,163.40 : x
  2. Step 2: Convert to fraction form
    2,047.62/2,825.80 = 1,163.40/x
  3. Step 3: Cross multiply
    2,047.62x = 2,825.80 × 1,163.40
  4. Step 4: Simplify right side
    2,047.62x = 3,287,535.72
  5. Step 5: Solve for x
    x = 3,287,535.72/2,047.62
  6. Step 6: Final answer
    x = 1,605.54

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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.