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Finding the Fourth Proportional to 2,650.59, 3,974.67 and 1,190.16

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Solution

The fourth proportional to 2,650.59, 3,974.67 and 1,190.16 is: 1,784.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,650.59 : 3,974.67 = 1,190.16 : x
  2. Step 2: Convert to fraction form
    2,650.59/3,974.67 = 1,190.16/x
  3. Step 3: Cross multiply
    2,650.59x = 3,974.67 × 1,190.16
  4. Step 4: Simplify right side
    2,650.59x = 4,730,493.25
  5. Step 5: Solve for x
    x = 4,730,493.25/2,650.59
  6. Step 6: Final answer
    x = 1,784.69

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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.