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Finding the Fourth Proportional to 3,313.44, 4,972.44 and 1,365.64

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Solution

The fourth proportional to 3,313.44, 4,972.44 and 1,365.64 is: 2,049.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,313.44 : 4,972.44 = 1,365.64 : x
  2. Step 2: Convert to fraction form
    3,313.44/4,972.44 = 1,365.64/x
  3. Step 3: Cross multiply
    3,313.44x = 4,972.44 × 1,365.64
  4. Step 4: Simplify right side
    3,313.44x = 6,790,562.96
  5. Step 5: Solve for x
    x = 6,790,562.96/3,313.44
  6. Step 6: Final answer
    x = 2,049.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.