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Finding the Fourth Proportional to 1,451.22, 2,003.72 and 892.44

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Solution

The fourth proportional to 1,451.22, 2,003.72 and 892.44 is: 1,232.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,451.22 : 2,003.72 = 892.44 : x
  2. Step 2: Convert to fraction form
    1,451.22/2,003.72 = 892.44/x
  3. Step 3: Cross multiply
    1,451.22x = 2,003.72 × 892.44
  4. Step 4: Simplify right side
    1,451.22x = 1,788,189.86
  5. Step 5: Solve for x
    x = 1,788,189.86/1,451.22
  6. Step 6: Final answer
    x = 1,232.20

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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.