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Finding the Fourth Proportional to 3,219.68, 4,829.44 and 1,028.56

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Solution

The fourth proportional to 3,219.68, 4,829.44 and 1,028.56 is: 1,542.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,219.68 : 4,829.44 = 1,028.56 : x
  2. Step 2: Convert to fraction form
    3,219.68/4,829.44 = 1,028.56/x
  3. Step 3: Cross multiply
    3,219.68x = 4,829.44 × 1,028.56
  4. Step 4: Simplify right side
    3,219.68x = 4,967,368.81
  5. Step 5: Solve for x
    x = 4,967,368.81/3,219.68
  6. Step 6: Final answer
    x = 1,542.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.