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Finding the Fourth Proportional to 2,856.20, 4,285.20 and 1,395.50

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Solution

The fourth proportional to 2,856.20, 4,285.20 and 1,395.50 is: 2,093.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,856.20 : 4,285.20 = 1,395.50 : x
  2. Step 2: Convert to fraction form
    2,856.20/4,285.20 = 1,395.50/x
  3. Step 3: Cross multiply
    2,856.20x = 4,285.20 × 1,395.50
  4. Step 4: Simplify right side
    2,856.20x = 5,979,996.60
  5. Step 5: Solve for x
    x = 5,979,996.60/2,856.20
  6. Step 6: Final answer
    x = 2,093.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.