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Finding the Fourth Proportional to 3,201.63, 4,802.31 and 1,011.93

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Solution

The fourth proportional to 3,201.63, 4,802.31 and 1,011.93 is: 1,517.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,201.63 : 4,802.31 = 1,011.93 : x
  2. Step 2: Convert to fraction form
    3,201.63/4,802.31 = 1,011.93/x
  3. Step 3: Cross multiply
    3,201.63x = 4,802.31 × 1,011.93
  4. Step 4: Simplify right side
    3,201.63x = 4,859,601.56
  5. Step 5: Solve for x
    x = 4,859,601.56/3,201.63
  6. Step 6: Final answer
    x = 1,517.85

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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.