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Finding the Fourth Proportional to 3,003.14, 4,504.71 and 811.86

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Solution

The fourth proportional to 3,003.14, 4,504.71 and 811.86 is: 1,217.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,003.14 : 4,504.71 = 811.86 : x
  2. Step 2: Convert to fraction form
    3,003.14/4,504.71 = 811.86/x
  3. Step 3: Cross multiply
    3,003.14x = 4,504.71 × 811.86
  4. Step 4: Simplify right side
    3,003.14x = 3,657,193.86
  5. Step 5: Solve for x
    x = 3,657,193.86/3,003.14
  6. Step 6: Final answer
    x = 1,217.79

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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.