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Finding the Fourth Proportional to 2,448.36, 3,673.00 and 804.97

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Solution

The fourth proportional to 2,448.36, 3,673.00 and 804.97 is: 1,207.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,448.36 : 3,673.00 = 804.97 : x
  2. Step 2: Convert to fraction form
    2,448.36/3,673.00 = 804.97/x
  3. Step 3: Cross multiply
    2,448.36x = 3,673.00 × 804.97
  4. Step 4: Simplify right side
    2,448.36x = 2,956,655.88
  5. Step 5: Solve for x
    x = 2,956,655.88/2,448.36
  6. Step 6: Final answer
    x = 1,207.61

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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.