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Finding the Fourth Proportional to 3,220.86, 4,830.48 and 1,028.46

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Solution

The fourth proportional to 3,220.86, 4,830.48 and 1,028.46 is: 1,542.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,220.86 : 4,830.48 = 1,028.46 : x
  2. Step 2: Convert to fraction form
    3,220.86/4,830.48 = 1,028.46/x
  3. Step 3: Cross multiply
    3,220.86x = 4,830.48 × 1,028.46
  4. Step 4: Simplify right side
    3,220.86x = 4,967,955.46
  5. Step 5: Solve for x
    x = 4,967,955.46/3,220.86
  6. Step 6: Final answer
    x = 1,542.43

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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.