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Finding the Fourth Proportional to 3,003.06, 4,504.20 and 811.94

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Solution

The fourth proportional to 3,003.06, 4,504.20 and 811.94 is: 1,217.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,003.06 : 4,504.20 = 811.94 : x
  2. Step 2: Convert to fraction form
    3,003.06/4,504.20 = 811.94/x
  3. Step 3: Cross multiply
    3,003.06x = 4,504.20 × 811.94
  4. Step 4: Simplify right side
    3,003.06x = 3,657,140.15
  5. Step 5: Solve for x
    x = 3,657,140.15/3,003.06
  6. Step 6: Final answer
    x = 1,217.80

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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.