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Finding the Fourth Proportional to 2,794.06, 3,856.01 and 1,615.82

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Solution

The fourth proportional to 2,794.06, 3,856.01 and 1,615.82 is: 2,229.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,794.06 : 3,856.01 = 1,615.82 : x
  2. Step 2: Convert to fraction form
    2,794.06/3,856.01 = 1,615.82/x
  3. Step 3: Cross multiply
    2,794.06x = 3,856.01 × 1,615.82
  4. Step 4: Simplify right side
    2,794.06x = 6,230,590.72
  5. Step 5: Solve for x
    x = 6,230,590.72/2,794.06
  6. Step 6: Final answer
    x = 2,229.94

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.