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Finding the Fourth Proportional to 3,203.35, 4,804.85 and 2,262.42

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Solution

The fourth proportional to 3,203.35, 4,804.85 and 2,262.42 is: 3,393.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,203.35 : 4,804.85 = 2,262.42 : x
  2. Step 2: Convert to fraction form
    3,203.35/4,804.85 = 2,262.42/x
  3. Step 3: Cross multiply
    3,203.35x = 4,804.85 × 2,262.42
  4. Step 4: Simplify right side
    3,203.35x = 10,870,613.27
  5. Step 5: Solve for x
    x = 10,870,613.27/3,203.35
  6. Step 6: Final answer
    x = 3,393.52

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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.