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Finding the Fourth Proportional to 1,633.26, 2,447.01 and 862.86

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Solution

The fourth proportional to 1,633.26, 2,447.01 and 862.86 is: 1,292.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,633.26 : 2,447.01 = 862.86 : x
  2. Step 2: Convert to fraction form
    1,633.26/2,447.01 = 862.86/x
  3. Step 3: Cross multiply
    1,633.26x = 2,447.01 × 862.86
  4. Step 4: Simplify right side
    1,633.26x = 2,111,427.05
  5. Step 5: Solve for x
    x = 2,111,427.05/1,633.26
  6. Step 6: Final answer
    x = 1,292.77

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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.