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Finding the Fourth Proportional to 3,201.93, 4,419.09 and 1,876.16

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Solution

The fourth proportional to 3,201.93, 4,419.09 and 1,876.16 is: 2,589.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,201.93 : 4,419.09 = 1,876.16 : x
  2. Step 2: Convert to fraction form
    3,201.93/4,419.09 = 1,876.16/x
  3. Step 3: Cross multiply
    3,201.93x = 4,419.09 × 1,876.16
  4. Step 4: Simplify right side
    3,201.93x = 8,290,904.16
  5. Step 5: Solve for x
    x = 8,290,904.16/3,201.93
  6. Step 6: Final answer
    x = 2,589.35

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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.