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Finding the Fourth Proportional to 1,188.17, 1,778.37 and 1,074.49

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Solution

The fourth proportional to 1,188.17, 1,778.37 and 1,074.49 is: 1,608.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,188.17 : 1,778.37 = 1,074.49 : x
  2. Step 2: Convert to fraction form
    1,188.17/1,778.37 = 1,074.49/x
  3. Step 3: Cross multiply
    1,188.17x = 1,778.37 × 1,074.49
  4. Step 4: Simplify right side
    1,188.17x = 1,910,840.78
  5. Step 5: Solve for x
    x = 1,910,840.78/1,188.17
  6. Step 6: Final answer
    x = 1,608.22

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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.