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Finding the Fourth Proportional to 3,201.78, 4,802.65 and 1,010.73

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Solution

The fourth proportional to 3,201.78, 4,802.65 and 1,010.73 is: 1,516.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,201.78 : 4,802.65 = 1,010.73 : x
  2. Step 2: Convert to fraction form
    3,201.78/4,802.65 = 1,010.73/x
  3. Step 3: Cross multiply
    3,201.78x = 4,802.65 × 1,010.73
  4. Step 4: Simplify right side
    3,201.78x = 4,854,182.43
  5. Step 5: Solve for x
    x = 4,854,182.43/3,201.78
  6. Step 6: Final answer
    x = 1,516.09

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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.