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Finding the Fourth Proportional to 1,285.05, 1,917.48 and 1,206.68

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Solution

The fourth proportional to 1,285.05, 1,917.48 and 1,206.68 is: 1,800.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,285.05 : 1,917.48 = 1,206.68 : x
  2. Step 2: Convert to fraction form
    1,285.05/1,917.48 = 1,206.68/x
  3. Step 3: Cross multiply
    1,285.05x = 1,917.48 × 1,206.68
  4. Step 4: Simplify right side
    1,285.05x = 2,313,789.56
  5. Step 5: Solve for x
    x = 2,313,789.56/1,285.05
  6. Step 6: Final answer
    x = 1,800.54

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.