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Finding the Fourth Proportional to 3,220.86, 4,830.60 and 1,029.78

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Solution

The fourth proportional to 3,220.86, 4,830.60 and 1,029.78 is: 1,544.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,220.86 : 4,830.60 = 1,029.78 : x
  2. Step 2: Convert to fraction form
    3,220.86/4,830.60 = 1,029.78/x
  3. Step 3: Cross multiply
    3,220.86x = 4,830.60 × 1,029.78
  4. Step 4: Simplify right side
    3,220.86x = 4,974,455.27
  5. Step 5: Solve for x
    x = 4,974,455.27/3,220.86
  6. Step 6: Final answer
    x = 1,544.45

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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.