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Finding the Fourth Proportional to 1,352.11, 2,027.94 and 378.31

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Solution

The fourth proportional to 1,352.11, 2,027.94 and 378.31 is: 567.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,352.11 : 2,027.94 = 378.31 : x
  2. Step 2: Convert to fraction form
    1,352.11/2,027.94 = 378.31/x
  3. Step 3: Cross multiply
    1,352.11x = 2,027.94 × 378.31
  4. Step 4: Simplify right side
    1,352.11x = 767,189.98
  5. Step 5: Solve for x
    x = 767,189.98/1,352.11
  6. Step 6: Final answer
    x = 567.40

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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.