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Finding the Fourth Proportional to 1,469.82, 2,028.42 and 910.59

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Solution

The fourth proportional to 1,469.82, 2,028.42 and 910.59 is: 1,256.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,469.82 : 2,028.42 = 910.59 : x
  2. Step 2: Convert to fraction form
    1,469.82/2,028.42 = 910.59/x
  3. Step 3: Cross multiply
    1,469.82x = 2,028.42 × 910.59
  4. Step 4: Simplify right side
    1,469.82x = 1,847,058.97
  5. Step 5: Solve for x
    x = 1,847,058.97/1,469.82
  6. Step 6: Final answer
    x = 1,256.66

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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.