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Finding the Fourth Proportional to 3,230.10, 4,844.26 and 889.55

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Solution

The fourth proportional to 3,230.10, 4,844.26 and 889.55 is: 1,334.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,230.10 : 4,844.26 = 889.55 : x
  2. Step 2: Convert to fraction form
    3,230.10/4,844.26 = 889.55/x
  3. Step 3: Cross multiply
    3,230.10x = 4,844.26 × 889.55
  4. Step 4: Simplify right side
    3,230.10x = 4,309,207.04
  5. Step 5: Solve for x
    x = 4,309,207.04/3,230.10
  6. Step 6: Final answer
    x = 1,334.08

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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.