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Finding the Fourth Proportional to 3,201.19, 4,416.19 and 1,874.31

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Solution

The fourth proportional to 3,201.19, 4,416.19 and 1,874.31 is: 2,585.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,201.19 : 4,416.19 = 1,874.31 : x
  2. Step 2: Convert to fraction form
    3,201.19/4,416.19 = 1,874.31/x
  3. Step 3: Cross multiply
    3,201.19x = 4,416.19 × 1,874.31
  4. Step 4: Simplify right side
    3,201.19x = 8,277,287.83
  5. Step 5: Solve for x
    x = 8,277,287.83/3,201.19
  6. Step 6: Final answer
    x = 2,585.69

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