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Finding the Fourth Proportional to 2,147.27, 2,964.56 and 1,648.94

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Solution

The fourth proportional to 2,147.27, 2,964.56 and 1,648.94 is: 2,276.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,147.27 : 2,964.56 = 1,648.94 : x
  2. Step 2: Convert to fraction form
    2,147.27/2,964.56 = 1,648.94/x
  3. Step 3: Cross multiply
    2,147.27x = 2,964.56 × 1,648.94
  4. Step 4: Simplify right side
    2,147.27x = 4,888,380.73
  5. Step 5: Solve for x
    x = 4,888,380.73/2,147.27
  6. Step 6: Final answer
    x = 2,276.55

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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.