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Finding the Fourth Proportional to 1,766.97, 2,648.79 and 900.27

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Solution

The fourth proportional to 1,766.97, 2,648.79 and 900.27 is: 1,349.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,766.97 : 2,648.79 = 900.27 : x
  2. Step 2: Convert to fraction form
    1,766.97/2,648.79 = 900.27/x
  3. Step 3: Cross multiply
    1,766.97x = 2,648.79 × 900.27
  4. Step 4: Simplify right side
    1,766.97x = 2,384,626.17
  5. Step 5: Solve for x
    x = 2,384,626.17/1,766.97
  6. Step 6: Final answer
    x = 1,349.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.