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Finding the Fourth Proportional to 2,857.86, 4,287.45 and 1,214.46

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Solution

The fourth proportional to 2,857.86, 4,287.45 and 1,214.46 is: 1,821.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,857.86 : 4,287.45 = 1,214.46 : x
  2. Step 2: Convert to fraction form
    2,857.86/4,287.45 = 1,214.46/x
  3. Step 3: Cross multiply
    2,857.86x = 4,287.45 × 1,214.46
  4. Step 4: Simplify right side
    2,857.86x = 5,206,936.53
  5. Step 5: Solve for x
    x = 5,206,936.53/2,857.86
  6. Step 6: Final answer
    x = 1,821.97

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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.