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Finding the Fourth Proportional to 3,003.12, 4,504.67 and 811.90

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Solution

The fourth proportional to 3,003.12, 4,504.67 and 811.90 is: 1,217.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,003.12 : 4,504.67 = 811.90 : x
  2. Step 2: Convert to fraction form
    3,003.12/4,504.67 = 811.90/x
  3. Step 3: Cross multiply
    3,003.12x = 4,504.67 × 811.90
  4. Step 4: Simplify right side
    3,003.12x = 3,657,341.57
  5. Step 5: Solve for x
    x = 3,657,341.57/3,003.12
  6. Step 6: Final answer
    x = 1,217.85

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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.