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Finding the Fourth Proportional to 1,352.43, 2,028.71 and 378.54

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Solution

The fourth proportional to 1,352.43, 2,028.71 and 378.54 is: 567.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,352.43 : 2,028.71 = 378.54 : x
  2. Step 2: Convert to fraction form
    1,352.43/2,028.71 = 378.54/x
  3. Step 3: Cross multiply
    1,352.43x = 2,028.71 × 378.54
  4. Step 4: Simplify right side
    1,352.43x = 767,948.83
  5. Step 5: Solve for x
    x = 767,948.83/1,352.43
  6. Step 6: Final answer
    x = 567.83

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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.