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Finding the Fourth Proportional to 2,142.67, 2,956.74 and 1,198.54

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Solution

The fourth proportional to 2,142.67, 2,956.74 and 1,198.54 is: 1,653.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,142.67 : 2,956.74 = 1,198.54 : x
  2. Step 2: Convert to fraction form
    2,142.67/2,956.74 = 1,198.54/x
  3. Step 3: Cross multiply
    2,142.67x = 2,956.74 × 1,198.54
  4. Step 4: Simplify right side
    2,142.67x = 3,543,771.16
  5. Step 5: Solve for x
    x = 3,543,771.16/2,142.67
  6. Step 6: Final answer
    x = 1,653.90

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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.