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Finding the Fourth Proportional to 2,022, 2,790.36 and 1,194

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Solution

The fourth proportional to 2,022, 2,790.36 and 1,194 is: 1,647.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,022 : 2,790.36 = 1,194 : x
  2. Step 2: Convert to fraction form
    2,022/2,790.36 = 1,194/x
  3. Step 3: Cross multiply
    2,022x = 2,790.36 × 1,194
  4. Step 4: Simplify right side
    2,022x = 3,331,689.84
  5. Step 5: Solve for x
    x = 3,331,689.84/2,022
  6. Step 6: Final answer
    x = 1,647.72

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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.