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Finding the Fourth Proportional to 2,143.17, 2,957.54 and 1,198.95

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Solution

The fourth proportional to 2,143.17, 2,957.54 and 1,198.95 is: 1,654.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,143.17 : 2,957.54 = 1,198.95 : x
  2. Step 2: Convert to fraction form
    2,143.17/2,957.54 = 1,198.95/x
  3. Step 3: Cross multiply
    2,143.17x = 2,957.54 × 1,198.95
  4. Step 4: Simplify right side
    2,143.17x = 3,545,945.51
  5. Step 5: Solve for x
    x = 3,545,945.51/2,143.17
  6. Step 6: Final answer
    x = 1,654.53

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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.