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Finding the Fourth Proportional to 2,856.45, 4,285.12 and 1,213.44

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Solution

The fourth proportional to 2,856.45, 4,285.12 and 1,213.44 is: 1,820.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,856.45 : 4,285.12 = 1,213.44 : x
  2. Step 2: Convert to fraction form
    2,856.45/4,285.12 = 1,213.44/x
  3. Step 3: Cross multiply
    2,856.45x = 4,285.12 × 1,213.44
  4. Step 4: Simplify right side
    2,856.45x = 5,199,736.01
  5. Step 5: Solve for x
    x = 5,199,736.01/2,856.45
  6. Step 6: Final answer
    x = 1,820.35

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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.