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Finding the Fourth Proportional to 2,369.64, 3,269.36 and 1,374.86

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Solution

The fourth proportional to 2,369.64, 3,269.36 and 1,374.86 is: 1,896.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,369.64 : 3,269.36 = 1,374.86 : x
  2. Step 2: Convert to fraction form
    2,369.64/3,269.36 = 1,374.86/x
  3. Step 3: Cross multiply
    2,369.64x = 3,269.36 × 1,374.86
  4. Step 4: Simplify right side
    2,369.64x = 4,494,912.29
  5. Step 5: Solve for x
    x = 4,494,912.29/2,369.64
  6. Step 6: Final answer
    x = 1,896.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.