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Finding the Fourth Proportional to 2,448.27, 3,671.63 and 804.44

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Solution

The fourth proportional to 2,448.27, 3,671.63 and 804.44 is: 1,206.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,448.27 : 3,671.63 = 804.44 : x
  2. Step 2: Convert to fraction form
    2,448.27/3,671.63 = 804.44/x
  3. Step 3: Cross multiply
    2,448.27x = 3,671.63 × 804.44
  4. Step 4: Simplify right side
    2,448.27x = 2,953,591.30
  5. Step 5: Solve for x
    x = 2,953,591.30/2,448.27
  6. Step 6: Final answer
    x = 1,206.40

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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.