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Finding the Fourth Proportional to 3,201.84, 4,418.37 and 1,804.50

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Solution

The fourth proportional to 3,201.84, 4,418.37 and 1,804.50 is: 2,490.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,201.84 : 4,418.37 = 1,804.50 : x
  2. Step 2: Convert to fraction form
    3,201.84/4,418.37 = 1,804.50/x
  3. Step 3: Cross multiply
    3,201.84x = 4,418.37 × 1,804.50
  4. Step 4: Simplify right side
    3,201.84x = 7,972,948.67
  5. Step 5: Solve for x
    x = 7,972,948.67/3,201.84
  6. Step 6: Final answer
    x = 2,490.11

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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.