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Finding the Fourth Proportional to 3,220.46, 4,829.12 and 1,346.02

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Solution

The fourth proportional to 3,220.46, 4,829.12 and 1,346.02 is: 2,018.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,220.46 : 4,829.12 = 1,346.02 : x
  2. Step 2: Convert to fraction form
    3,220.46/4,829.12 = 1,346.02/x
  3. Step 3: Cross multiply
    3,220.46x = 4,829.12 × 1,346.02
  4. Step 4: Simplify right side
    3,220.46x = 6,500,078.35
  5. Step 5: Solve for x
    x = 6,500,078.35/3,220.46
  6. Step 6: Final answer
    x = 2,018.37

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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.