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Finding the Fourth Proportional to 3,216.50, 4,438.77 and 1,744.50

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Solution

The fourth proportional to 3,216.50, 4,438.77 and 1,744.50 is: 2,407.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,216.50 : 4,438.77 = 1,744.50 : x
  2. Step 2: Convert to fraction form
    3,216.50/4,438.77 = 1,744.50/x
  3. Step 3: Cross multiply
    3,216.50x = 4,438.77 × 1,744.50
  4. Step 4: Simplify right side
    3,216.50x = 7,743,434.27
  5. Step 5: Solve for x
    x = 7,743,434.27/3,216.50
  6. Step 6: Final answer
    x = 2,407.41

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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.