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Finding the Fourth Proportional to 2,447.97, 3,671.96 and 804.51

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Solution

The fourth proportional to 2,447.97, 3,671.96 and 804.51 is: 1,206.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,447.97 : 3,671.96 = 804.51 : x
  2. Step 2: Convert to fraction form
    2,447.97/3,671.96 = 804.51/x
  3. Step 3: Cross multiply
    2,447.97x = 3,671.96 × 804.51
  4. Step 4: Simplify right side
    2,447.97x = 2,954,124.52
  5. Step 5: Solve for x
    x = 2,954,124.52/2,447.97
  6. Step 6: Final answer
    x = 1,206.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.