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Finding the Fourth Proportional to 2,855.91, 4,284.47 and 1,212.42

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Solution

The fourth proportional to 2,855.91, 4,284.47 and 1,212.42 is: 1,818.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,855.91 : 4,284.47 = 1,212.42 : x
  2. Step 2: Convert to fraction form
    2,855.91/4,284.47 = 1,212.42/x
  3. Step 3: Cross multiply
    2,855.91x = 4,284.47 × 1,212.42
  4. Step 4: Simplify right side
    2,855.91x = 5,194,580.15
  5. Step 5: Solve for x
    x = 5,194,580.15/2,855.91
  6. Step 6: Final answer
    x = 1,818.89

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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.