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Finding the Fourth Proportional to 2,046.75, 2,825.01 and 1,163.04

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Solution

The fourth proportional to 2,046.75, 2,825.01 and 1,163.04 is: 1,605.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,046.75 : 2,825.01 = 1,163.04 : x
  2. Step 2: Convert to fraction form
    2,046.75/2,825.01 = 1,163.04/x
  3. Step 3: Cross multiply
    2,046.75x = 2,825.01 × 1,163.04
  4. Step 4: Simplify right side
    2,046.75x = 3,285,599.63
  5. Step 5: Solve for x
    x = 3,285,599.63/2,046.75
  6. Step 6: Final answer
    x = 1,605.28

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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.