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Finding the Fourth Proportional to 1,352.15, 2,027.99 and 378.03

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Solution

The fourth proportional to 1,352.15, 2,027.99 and 378.03 is: 566.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,352.15 : 2,027.99 = 378.03 : x
  2. Step 2: Convert to fraction form
    1,352.15/2,027.99 = 378.03/x
  3. Step 3: Cross multiply
    1,352.15x = 2,027.99 × 378.03
  4. Step 4: Simplify right side
    1,352.15x = 766,641.06
  5. Step 5: Solve for x
    x = 766,641.06/1,352.15
  6. Step 6: Final answer
    x = 566.98

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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.