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Finding the Fourth Proportional to 2,033.00, 2,804.60 and 1,193.43

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Solution

The fourth proportional to 2,033.00, 2,804.60 and 1,193.43 is: 1,646.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,033.00 : 2,804.60 = 1,193.43 : x
  2. Step 2: Convert to fraction form
    2,033.00/2,804.60 = 1,193.43/x
  3. Step 3: Cross multiply
    2,033.00x = 2,804.60 × 1,193.43
  4. Step 4: Simplify right side
    2,033.00x = 3,347,103.92
  5. Step 5: Solve for x
    x = 3,347,103.92/2,033.00
  6. Step 6: Final answer
    x = 1,646.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.