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Finding the Fourth Proportional to 3,230.83, 4,846.35 and 890.88

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Solution

The fourth proportional to 3,230.83, 4,846.35 and 890.88 is: 1,336.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,230.83 : 4,846.35 = 890.88 : x
  2. Step 2: Convert to fraction form
    3,230.83/4,846.35 = 890.88/x
  3. Step 3: Cross multiply
    3,230.83x = 4,846.35 × 890.88
  4. Step 4: Simplify right side
    3,230.83x = 4,317,487.60
  5. Step 5: Solve for x
    x = 4,317,487.60/3,230.83
  6. Step 6: Final answer
    x = 1,336.34

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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.