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Finding the Fourth Proportional to 2,448.37, 3,671.97 and 804.52

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Solution

The fourth proportional to 2,448.37, 3,671.97 and 804.52 is: 1,206.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,448.37 : 3,671.97 = 804.52 : x
  2. Step 2: Convert to fraction form
    2,448.37/3,671.97 = 804.52/x
  3. Step 3: Cross multiply
    2,448.37x = 3,671.97 × 804.52
  4. Step 4: Simplify right side
    2,448.37x = 2,954,173.30
  5. Step 5: Solve for x
    x = 2,954,173.30/2,448.37
  6. Step 6: Final answer
    x = 1,206.59

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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.