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Finding the Fourth Proportional to 2,855.86, 4,284.06 and 1,212.92

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Solution

The fourth proportional to 2,855.86, 4,284.06 and 1,212.92 is: 1,819.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,855.86 : 4,284.06 = 1,212.92 : x
  2. Step 2: Convert to fraction form
    2,855.86/4,284.06 = 1,212.92/x
  3. Step 3: Cross multiply
    2,855.86x = 4,284.06 × 1,212.92
  4. Step 4: Simplify right side
    2,855.86x = 5,196,222.06
  5. Step 5: Solve for x
    x = 5,196,222.06/2,855.86
  6. Step 6: Final answer
    x = 1,819.49

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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.