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Finding the Fourth Proportional to 1,352.06, 2,027.91 and 378.08

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Solution

The fourth proportional to 1,352.06, 2,027.91 and 378.08 is: 567.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,352.06 : 2,027.91 = 378.08 : x
  2. Step 2: Convert to fraction form
    1,352.06/2,027.91 = 378.08/x
  3. Step 3: Cross multiply
    1,352.06x = 2,027.91 × 378.08
  4. Step 4: Simplify right side
    1,352.06x = 766,712.21
  5. Step 5: Solve for x
    x = 766,712.21/1,352.06
  6. Step 6: Final answer
    x = 567.07

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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.