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Finding the Fourth Proportional to 3,220.77, 4,832.01 and 1,029.54

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Solution

The fourth proportional to 3,220.77, 4,832.01 and 1,029.54 is: 1,544.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,220.77 : 4,832.01 = 1,029.54 : x
  2. Step 2: Convert to fraction form
    3,220.77/4,832.01 = 1,029.54/x
  3. Step 3: Cross multiply
    3,220.77x = 4,832.01 × 1,029.54
  4. Step 4: Simplify right side
    3,220.77x = 4,974,747.58
  5. Step 5: Solve for x
    x = 4,974,747.58/3,220.77
  6. Step 6: Final answer
    x = 1,544.58

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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.