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Finding the Fourth Proportional to 3,314.94, 4,974.16 and 1,467.33

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Solution

The fourth proportional to 3,314.94, 4,974.16 and 1,467.33 is: 2,201.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,314.94 : 4,974.16 = 1,467.33 : x
  2. Step 2: Convert to fraction form
    3,314.94/4,974.16 = 1,467.33/x
  3. Step 3: Cross multiply
    3,314.94x = 4,974.16 × 1,467.33
  4. Step 4: Simplify right side
    3,314.94x = 7,298,734.19
  5. Step 5: Solve for x
    x = 7,298,734.19/3,314.94
  6. Step 6: Final answer
    x = 2,201.77

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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.