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Finding the Fourth Proportional to 1,634.36, 2,451.72 and 538.88

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Solution

The fourth proportional to 1,634.36, 2,451.72 and 538.88 is: 808.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,634.36 : 2,451.72 = 538.88 : x
  2. Step 2: Convert to fraction form
    1,634.36/2,451.72 = 538.88/x
  3. Step 3: Cross multiply
    1,634.36x = 2,451.72 × 538.88
  4. Step 4: Simplify right side
    1,634.36x = 1,321,182.87
  5. Step 5: Solve for x
    x = 1,321,182.87/1,634.36
  6. Step 6: Final answer
    x = 808.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.