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Finding the Fourth Proportional to 2,190.54, 3,022.80 and 1,195.78

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Solution

The fourth proportional to 2,190.54, 3,022.80 and 1,195.78 is: 1,650.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,190.54 : 3,022.80 = 1,195.78 : x
  2. Step 2: Convert to fraction form
    2,190.54/3,022.80 = 1,195.78/x
  3. Step 3: Cross multiply
    2,190.54x = 3,022.80 × 1,195.78
  4. Step 4: Simplify right side
    2,190.54x = 3,614,603.78
  5. Step 5: Solve for x
    x = 3,614,603.78/2,190.54
  6. Step 6: Final answer
    x = 1,650.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.