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Finding the Fourth Proportional to 2,857.83, 4,288.37 and 1,214.21

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Solution

The fourth proportional to 2,857.83, 4,288.37 and 1,214.21 is: 1,822.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,857.83 : 4,288.37 = 1,214.21 : x
  2. Step 2: Convert to fraction form
    2,857.83/4,288.37 = 1,214.21/x
  3. Step 3: Cross multiply
    2,857.83x = 4,288.37 × 1,214.21
  4. Step 4: Simplify right side
    2,857.83x = 5,206,954.22
  5. Step 5: Solve for x
    x = 5,206,954.22/2,857.83
  6. Step 6: Final answer
    x = 1,822.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.