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Finding the Fourth Proportional to 3,001.68, 4,493.60 and 1,828.16

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Solution

The fourth proportional to 3,001.68, 4,493.60 and 1,828.16 is: 2,736.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,001.68 : 4,493.60 = 1,828.16 : x
  2. Step 2: Convert to fraction form
    3,001.68/4,493.60 = 1,828.16/x
  3. Step 3: Cross multiply
    3,001.68x = 4,493.60 × 1,828.16
  4. Step 4: Simplify right side
    3,001.68x = 8,215,019.78
  5. Step 5: Solve for x
    x = 8,215,019.78/3,001.68
  6. Step 6: Final answer
    x = 2,736.81

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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.