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Finding the Fourth Proportional to 2,857.42, 3,944.96 and 1,864.42

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Solution

The fourth proportional to 2,857.42, 3,944.96 and 1,864.42 is: 2,574.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,857.42 : 3,944.96 = 1,864.42 : x
  2. Step 2: Convert to fraction form
    2,857.42/3,944.96 = 1,864.42/x
  3. Step 3: Cross multiply
    2,857.42x = 3,944.96 × 1,864.42
  4. Step 4: Simplify right side
    2,857.42x = 7,355,062.32
  5. Step 5: Solve for x
    x = 7,355,062.32/2,857.42
  6. Step 6: Final answer
    x = 2,574.02

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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.