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Finding the Fourth Proportional to 2,843.42, 3,922.13 and 1,957.68

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Solution

The fourth proportional to 2,843.42, 3,922.13 and 1,957.68 is: 2,700.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,843.42 : 3,922.13 = 1,957.68 : x
  2. Step 2: Convert to fraction form
    2,843.42/3,922.13 = 1,957.68/x
  3. Step 3: Cross multiply
    2,843.42x = 3,922.13 × 1,957.68
  4. Step 4: Simplify right side
    2,843.42x = 7,678,275.46
  5. Step 5: Solve for x
    x = 7,678,275.46/2,843.42
  6. Step 6: Final answer
    x = 2,700.37

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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.