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Finding the Fourth Proportional to 2,142.22, 2,956.02 and 1,198.02

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Solution

The fourth proportional to 2,142.22, 2,956.02 and 1,198.02 is: 1,653.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,142.22 : 2,956.02 = 1,198.02 : x
  2. Step 2: Convert to fraction form
    2,142.22/2,956.02 = 1,198.02/x
  3. Step 3: Cross multiply
    2,142.22x = 2,956.02 × 1,198.02
  4. Step 4: Simplify right side
    2,142.22x = 3,541,356.10
  5. Step 5: Solve for x
    x = 3,541,356.10/2,142.22
  6. Step 6: Final answer
    x = 1,653.12

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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.