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Finding the Fourth Proportional to 2,002.99, 3,004.83 and 892.80

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Solution

The fourth proportional to 2,002.99, 3,004.83 and 892.80 is: 1,339.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,002.99 : 3,004.83 = 892.80 : x
  2. Step 2: Convert to fraction form
    2,002.99/3,004.83 = 892.80/x
  3. Step 3: Cross multiply
    2,002.99x = 3,004.83 × 892.80
  4. Step 4: Simplify right side
    2,002.99x = 2,682,712.22
  5. Step 5: Solve for x
    x = 2,682,712.22/2,002.99
  6. Step 6: Final answer
    x = 1,339.35

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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.