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Finding the Fourth Proportional to 2,447.99, 3,671.61 and 804.57

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Solution

The fourth proportional to 2,447.99, 3,671.61 and 804.57 is: 1,206.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,447.99 : 3,671.61 = 804.57 : x
  2. Step 2: Convert to fraction form
    2,447.99/3,671.61 = 804.57/x
  3. Step 3: Cross multiply
    2,447.99x = 3,671.61 × 804.57
  4. Step 4: Simplify right side
    2,447.99x = 2,954,048.90
  5. Step 5: Solve for x
    x = 2,954,048.90/2,447.99
  6. Step 6: Final answer
    x = 1,206.72

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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.