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Finding the Fourth Proportional to 2,614.73, 3,921.26 and 859.33

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Solution

The fourth proportional to 2,614.73, 3,921.26 and 859.33 is: 1,288.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,614.73 : 3,921.26 = 859.33 : x
  2. Step 2: Convert to fraction form
    2,614.73/3,921.26 = 859.33/x
  3. Step 3: Cross multiply
    2,614.73x = 3,921.26 × 859.33
  4. Step 4: Simplify right side
    2,614.73x = 3,369,636.75
  5. Step 5: Solve for x
    x = 3,369,636.75/2,614.73
  6. Step 6: Final answer
    x = 1,288.72

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1.5x scale

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.