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Finding the Fourth Proportional to 2,448.06, 3,672.32 and 804.61

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Solution

The fourth proportional to 2,448.06, 3,672.32 and 804.61 is: 1,206.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,448.06 : 3,672.32 = 804.61 : x
  2. Step 2: Convert to fraction form
    2,448.06/3,672.32 = 804.61/x
  3. Step 3: Cross multiply
    2,448.06x = 3,672.32 × 804.61
  4. Step 4: Simplify right side
    2,448.06x = 2,954,785.40
  5. Step 5: Solve for x
    x = 2,954,785.40/2,448.06
  6. Step 6: Final answer
    x = 1,206.99

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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.