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Finding the Fourth Proportional to 3,201.09, 4,801.83 and 1,009.89

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Solution

The fourth proportional to 3,201.09, 4,801.83 and 1,009.89 is: 1,514.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,201.09 : 4,801.83 = 1,009.89 : x
  2. Step 2: Convert to fraction form
    3,201.09/4,801.83 = 1,009.89/x
  3. Step 3: Cross multiply
    3,201.09x = 4,801.83 × 1,009.89
  4. Step 4: Simplify right side
    3,201.09x = 4,849,320.10
  5. Step 5: Solve for x
    x = 4,849,320.10/3,201.09
  6. Step 6: Final answer
    x = 1,514.90

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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.