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Finding the Fourth Proportional to 2,142.84, 2,957.17 and 1,198.60

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Solution

The fourth proportional to 2,142.84, 2,957.17 and 1,198.60 is: 1,654.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,142.84 : 2,957.17 = 1,198.60 : x
  2. Step 2: Convert to fraction form
    2,142.84/2,957.17 = 1,198.60/x
  3. Step 3: Cross multiply
    2,142.84x = 2,957.17 × 1,198.60
  4. Step 4: Simplify right side
    2,142.84x = 3,544,463.96
  5. Step 5: Solve for x
    x = 3,544,463.96/2,142.84
  6. Step 6: Final answer
    x = 1,654.10

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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.