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Finding the Fourth Proportional to 1,658.13, 2,287.31 and 1,028.44

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Solution

The fourth proportional to 1,658.13, 2,287.31 and 1,028.44 is: 1,418.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,658.13 : 2,287.31 = 1,028.44 : x
  2. Step 2: Convert to fraction form
    1,658.13/2,287.31 = 1,028.44/x
  3. Step 3: Cross multiply
    1,658.13x = 2,287.31 × 1,028.44
  4. Step 4: Simplify right side
    1,658.13x = 2,352,361.10
  5. Step 5: Solve for x
    x = 2,352,361.10/1,658.13
  6. Step 6: Final answer
    x = 1,418.68

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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.