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Finding the Fourth Proportional to 1,634.22, 2,451.72 and 538.59

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Solution

The fourth proportional to 1,634.22, 2,451.72 and 538.59 is: 808.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,634.22 : 2,451.72 = 538.59 : x
  2. Step 2: Convert to fraction form
    1,634.22/2,451.72 = 538.59/x
  3. Step 3: Cross multiply
    1,634.22x = 2,451.72 × 538.59
  4. Step 4: Simplify right side
    1,634.22x = 1,320,471.87
  5. Step 5: Solve for x
    x = 1,320,471.87/1,634.22
  6. Step 6: Final answer
    x = 808.01

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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.