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Finding the Fourth Proportional to 2,142.99, 2,957.60 and 1,198.83

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Solution

The fourth proportional to 2,142.99, 2,957.60 and 1,198.83 is: 1,654.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,142.99 : 2,957.60 = 1,198.83 : x
  2. Step 2: Convert to fraction form
    2,142.99/2,957.60 = 1,198.83/x
  3. Step 3: Cross multiply
    2,142.99x = 2,957.60 × 1,198.83
  4. Step 4: Simplify right side
    2,142.99x = 3,545,653.61
  5. Step 5: Solve for x
    x = 3,545,653.61/2,142.99
  6. Step 6: Final answer
    x = 1,654.54

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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.