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Finding the Fourth Proportional to 2,856.61, 4,285.57 and 1,213.21

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Solution

The fourth proportional to 2,856.61, 4,285.57 and 1,213.21 is: 1,820.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,856.61 : 4,285.57 = 1,213.21 : x
  2. Step 2: Convert to fraction form
    2,856.61/4,285.57 = 1,213.21/x
  3. Step 3: Cross multiply
    2,856.61x = 4,285.57 × 1,213.21
  4. Step 4: Simplify right side
    2,856.61x = 5,199,296.38
  5. Step 5: Solve for x
    x = 5,199,296.38/2,856.61
  6. Step 6: Final answer
    x = 1,820.09

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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.