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Finding the Fourth Proportional to 3,218.50, 4,441.53 and 1,821.25

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Solution

The fourth proportional to 3,218.50, 4,441.53 and 1,821.25 is: 2,513.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,218.50 : 4,441.53 = 1,821.25 : x
  2. Step 2: Convert to fraction form
    3,218.50/4,441.53 = 1,821.25/x
  3. Step 3: Cross multiply
    3,218.50x = 4,441.53 × 1,821.25
  4. Step 4: Simplify right side
    3,218.50x = 8,089,136.51
  5. Step 5: Solve for x
    x = 8,089,136.51/3,218.50
  6. Step 6: Final answer
    x = 2,513.33

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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.