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Finding the Fourth Proportional to 2,857.30, 3,944.27 and 2,071.19

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Solution

The fourth proportional to 2,857.30, 3,944.27 and 2,071.19 is: 2,859.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,857.30 : 3,944.27 = 2,071.19 : x
  2. Step 2: Convert to fraction form
    2,857.30/3,944.27 = 2,071.19/x
  3. Step 3: Cross multiply
    2,857.30x = 3,944.27 × 2,071.19
  4. Step 4: Simplify right side
    2,857.30x = 8,169,347.62
  5. Step 5: Solve for x
    x = 8,169,347.62/2,857.30
  6. Step 6: Final answer
    x = 2,859.12

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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.