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Finding the Fourth Proportional to 4,096.45, 6,144.99 and 1,464.51

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Solution

The fourth proportional to 4,096.45, 6,144.99 and 1,464.51 is: 2,196.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,096.45 : 6,144.99 = 1,464.51 : x
  2. Step 2: Convert to fraction form
    4,096.45/6,144.99 = 1,464.51/x
  3. Step 3: Cross multiply
    4,096.45x = 6,144.99 × 1,464.51
  4. Step 4: Simplify right side
    4,096.45x = 8,999,399.30
  5. Step 5: Solve for x
    x = 8,999,399.30/4,096.45
  6. Step 6: Final answer
    x = 2,196.88

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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.