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Finding the Fourth Proportional to 2,814.78, 4,222.17 and 866.97

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Solution

The fourth proportional to 2,814.78, 4,222.17 and 866.97 is: 1,300.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,814.78 : 4,222.17 = 866.97 : x
  2. Step 2: Convert to fraction form
    2,814.78/4,222.17 = 866.97/x
  3. Step 3: Cross multiply
    2,814.78x = 4,222.17 × 866.97
  4. Step 4: Simplify right side
    2,814.78x = 3,660,494.72
  5. Step 5: Solve for x
    x = 3,660,494.72/2,814.78
  6. Step 6: Final answer
    x = 1,300.46

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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.