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Finding the Fourth Proportional to 1,633.86, 2,255.87 and 1,005.20

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Solution

The fourth proportional to 1,633.86, 2,255.87 and 1,005.20 is: 1,387.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,633.86 : 2,255.87 = 1,005.20 : x
  2. Step 2: Convert to fraction form
    1,633.86/2,255.87 = 1,005.20/x
  3. Step 3: Cross multiply
    1,633.86x = 2,255.87 × 1,005.20
  4. Step 4: Simplify right side
    1,633.86x = 2,267,608.68
  5. Step 5: Solve for x
    x = 2,267,608.68/1,633.86
  6. Step 6: Final answer
    x = 1,387.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.