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Finding the Fourth Proportional to 3,236.60, 4,844.10 and 2,264.60

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Solution

The fourth proportional to 3,236.60, 4,844.10 and 2,264.60 is: 3,389.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,236.60 : 4,844.10 = 2,264.60 : x
  2. Step 2: Convert to fraction form
    3,236.60/4,844.10 = 2,264.60/x
  3. Step 3: Cross multiply
    3,236.60x = 4,844.10 × 2,264.60
  4. Step 4: Simplify right side
    3,236.60x = 10,969,948.86
  5. Step 5: Solve for x
    x = 10,969,948.86/3,236.60
  6. Step 6: Final answer
    x = 3,389.34

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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.