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Finding the Fourth Proportional to 2,558.43, 3,837.65 and 1,096.64

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Solution

The fourth proportional to 2,558.43, 3,837.65 and 1,096.64 is: 1,644.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,558.43 : 3,837.65 = 1,096.64 : x
  2. Step 2: Convert to fraction form
    2,558.43/3,837.65 = 1,096.64/x
  3. Step 3: Cross multiply
    2,558.43x = 3,837.65 × 1,096.64
  4. Step 4: Simplify right side
    2,558.43x = 4,208,495.82
  5. Step 5: Solve for x
    x = 4,208,495.82/2,558.43
  6. Step 6: Final answer
    x = 1,644.95

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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.