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Finding the Fourth Proportional to 2,022.18, 2,790.18 and 1,182.97

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Solution

The fourth proportional to 2,022.18, 2,790.18 and 1,182.97 is: 1,632.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,022.18 : 2,790.18 = 1,182.97 : x
  2. Step 2: Convert to fraction form
    2,022.18/2,790.18 = 1,182.97/x
  3. Step 3: Cross multiply
    2,022.18x = 2,790.18 × 1,182.97
  4. Step 4: Simplify right side
    2,022.18x = 3,300,702.72
  5. Step 5: Solve for x
    x = 3,300,702.72/2,022.18
  6. Step 6: Final answer
    x = 1,632.25

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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.