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Finding the Fourth Proportional to 1,691.30, 2,334.00 and 1,028.03

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Solution

The fourth proportional to 1,691.30, 2,334.00 and 1,028.03 is: 1,418.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,691.30 : 2,334.00 = 1,028.03 : x
  2. Step 2: Convert to fraction form
    1,691.30/2,334.00 = 1,028.03/x
  3. Step 3: Cross multiply
    1,691.30x = 2,334.00 × 1,028.03
  4. Step 4: Simplify right side
    1,691.30x = 2,399,408.42
  5. Step 5: Solve for x
    x = 2,399,408.42/1,691.30
  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.