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Finding the Fourth Proportional to 3,002.85, 4,504.38 and 811.62

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Solution

The fourth proportional to 3,002.85, 4,504.38 and 811.62 is: 1,217.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,002.85 : 4,504.38 = 811.62 : x
  2. Step 2: Convert to fraction form
    3,002.85/4,504.38 = 811.62/x
  3. Step 3: Cross multiply
    3,002.85x = 4,504.38 × 811.62
  4. Step 4: Simplify right side
    3,002.85x = 3,655,844.90
  5. Step 5: Solve for x
    x = 3,655,844.90/3,002.85
  6. Step 6: Final answer
    x = 1,217.46

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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.