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Finding the Fourth Proportional to 1,352.27, 2,028.17 and 378.14

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Solution

The fourth proportional to 1,352.27, 2,028.17 and 378.14 is: 567.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,352.27 : 2,028.17 = 378.14 : x
  2. Step 2: Convert to fraction form
    1,352.27/2,028.17 = 378.14/x
  3. Step 3: Cross multiply
    1,352.27x = 2,028.17 × 378.14
  4. Step 4: Simplify right side
    1,352.27x = 766,920.17
  5. Step 5: Solve for x
    x = 766,920.17/1,352.27
  6. Step 6: Final answer
    x = 567.14

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