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Finding the Fourth Proportional to 3,203.99, 4,420.32 and 1,877.21

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Solution

The fourth proportional to 3,203.99, 4,420.32 and 1,877.21 is: 2,589.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,203.99 : 4,420.32 = 1,877.21 : x
  2. Step 2: Convert to fraction form
    3,203.99/4,420.32 = 1,877.21/x
  3. Step 3: Cross multiply
    3,203.99x = 4,420.32 × 1,877.21
  4. Step 4: Simplify right side
    3,203.99x = 8,297,866.90
  5. Step 5: Solve for x
    x = 8,297,866.90/3,203.99
  6. Step 6: Final answer
    x = 2,589.86

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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.