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Finding the Fourth Proportional to 3,201.98, 4,419.08 and 1,876.80

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Solution

The fourth proportional to 3,201.98, 4,419.08 and 1,876.80 is: 2,590.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,201.98 : 4,419.08 = 1,876.80 : x
  2. Step 2: Convert to fraction form
    3,201.98/4,419.08 = 1,876.80/x
  3. Step 3: Cross multiply
    3,201.98x = 4,419.08 × 1,876.80
  4. Step 4: Simplify right side
    3,201.98x = 8,293,729.34
  5. Step 5: Solve for x
    x = 8,293,729.34/3,201.98
  6. Step 6: Final answer
    x = 2,590.19

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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.