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Finding the Fourth Proportional to 3,003.12, 4,491.54 and 1,829.88

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Solution

The fourth proportional to 3,003.12, 4,491.54 and 1,829.88 is: 2,736.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,003.12 : 4,491.54 = 1,829.88 : x
  2. Step 2: Convert to fraction form
    3,003.12/4,491.54 = 1,829.88/x
  3. Step 3: Cross multiply
    3,003.12x = 4,491.54 × 1,829.88
  4. Step 4: Simplify right side
    3,003.12x = 8,218,979.22
  5. Step 5: Solve for x
    x = 8,218,979.22/3,003.12
  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.