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Finding the Fourth Proportional to 3,002.83, 4,504.24 and 811.56

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Solution

The fourth proportional to 3,002.83, 4,504.24 and 811.56 is: 1,217.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,002.83 : 4,504.24 = 811.56 : x
  2. Step 2: Convert to fraction form
    3,002.83/4,504.24 = 811.56/x
  3. Step 3: Cross multiply
    3,002.83x = 4,504.24 × 811.56
  4. Step 4: Simplify right side
    3,002.83x = 3,655,461.01
  5. Step 5: Solve for x
    x = 3,655,461.01/3,002.83
  6. Step 6: Final answer
    x = 1,217.34

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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.