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Finding the Fourth Proportional to 3,220.68, 4,830.94 and 1,029.56

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Solution

The fourth proportional to 3,220.68, 4,830.94 and 1,029.56 is: 1,544.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,220.68 : 4,830.94 = 1,029.56 : x
  2. Step 2: Convert to fraction form
    3,220.68/4,830.94 = 1,029.56/x
  3. Step 3: Cross multiply
    3,220.68x = 4,830.94 × 1,029.56
  4. Step 4: Simplify right side
    3,220.68x = 4,973,742.59
  5. Step 5: Solve for x
    x = 4,973,742.59/3,220.68
  6. Step 6: Final answer
    x = 1,544.31

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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.