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Finding the Fourth Proportional to 1,464.87, 2,197.61 and 848.73

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Solution

The fourth proportional to 1,464.87, 2,197.61 and 848.73 is: 1,273.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,464.87 : 2,197.61 = 848.73 : x
  2. Step 2: Convert to fraction form
    1,464.87/2,197.61 = 848.73/x
  3. Step 3: Cross multiply
    1,464.87x = 2,197.61 × 848.73
  4. Step 4: Simplify right side
    1,464.87x = 1,865,177.54
  5. Step 5: Solve for x
    x = 1,865,177.54/1,464.87
  6. Step 6: Final answer
    x = 1,273.27

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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.