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Finding the Fourth Proportional to 2,431.40, 3,644.40 and 1,336.55

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Solution

The fourth proportional to 2,431.40, 3,644.40 and 1,336.55 is: 2,003.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,431.40 : 3,644.40 = 1,336.55 : x
  2. Step 2: Convert to fraction form
    2,431.40/3,644.40 = 1,336.55/x
  3. Step 3: Cross multiply
    2,431.40x = 3,644.40 × 1,336.55
  4. Step 4: Simplify right side
    2,431.40x = 4,870,922.82
  5. Step 5: Solve for x
    x = 4,870,922.82/2,431.40
  6. Step 6: Final answer
    x = 2,003.34

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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.