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Finding the Fourth Proportional to 1,645.86, 2,467.44 and 1,096.68

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Solution

The fourth proportional to 1,645.86, 2,467.44 and 1,096.68 is: 1,644.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,645.86 : 2,467.44 = 1,096.68 : x
  2. Step 2: Convert to fraction form
    1,645.86/2,467.44 = 1,096.68/x
  3. Step 3: Cross multiply
    1,645.86x = 2,467.44 × 1,096.68
  4. Step 4: Simplify right side
    1,645.86x = 2,705,992.10
  5. Step 5: Solve for x
    x = 2,705,992.10/1,645.86
  6. Step 6: Final answer
    x = 1,644.12

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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.