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Finding the Fourth Proportional to 3,220.44, 4,830.57 and 1,029.30

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Solution

The fourth proportional to 3,220.44, 4,830.57 and 1,029.30 is: 1,543.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,220.44 : 4,830.57 = 1,029.30 : x
  2. Step 2: Convert to fraction form
    3,220.44/4,830.57 = 1,029.30/x
  3. Step 3: Cross multiply
    3,220.44x = 4,830.57 × 1,029.30
  4. Step 4: Simplify right side
    3,220.44x = 4,972,105.70
  5. Step 5: Solve for x
    x = 4,972,105.70/3,220.44
  6. Step 6: Final answer
    x = 1,543.92

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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.