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Finding the Fourth Proportional to 3,003.20, 4,504.28 and 811.64

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Solution

The fourth proportional to 3,003.20, 4,504.28 and 811.64 is: 1,217.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,003.20 : 4,504.28 = 811.64 : x
  2. Step 2: Convert to fraction form
    3,003.20/4,504.28 = 811.64/x
  3. Step 3: Cross multiply
    3,003.20x = 4,504.28 × 811.64
  4. Step 4: Simplify right side
    3,003.20x = 3,655,853.82
  5. Step 5: Solve for x
    x = 3,655,853.82/3,003.20
  6. Step 6: Final answer
    x = 1,217.32

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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.