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Finding the Fourth Proportional to 2,856.91, 4,285.97 and 1,213.42

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Solution

The fourth proportional to 2,856.91, 4,285.97 and 1,213.42 is: 1,820.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,856.91 : 4,285.97 = 1,213.42 : x
  2. Step 2: Convert to fraction form
    2,856.91/4,285.97 = 1,213.42/x
  3. Step 3: Cross multiply
    2,856.91x = 4,285.97 × 1,213.42
  4. Step 4: Simplify right side
    2,856.91x = 5,200,681.72
  5. Step 5: Solve for x
    x = 5,200,681.72/2,856.91
  6. Step 6: Final answer
    x = 1,820.39

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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.