Home / 1,982.94-2,976.84-1,904.64

Finding the Fourth Proportional to 1,982.94, 2,976.84 and 1,904.64

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Solution

The fourth proportional to 1,982.94, 2,976.84 and 1,904.64 is: 2,859.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,982.94 : 2,976.84 = 1,904.64 : x
  2. Step 2: Convert to fraction form
    1,982.94/2,976.84 = 1,904.64/x
  3. Step 3: Cross multiply
    1,982.94x = 2,976.84 × 1,904.64
  4. Step 4: Simplify right side
    1,982.94x = 5,669,808.54
  5. Step 5: Solve for x
    x = 5,669,808.54/1,982.94
  6. Step 6: Final answer
    x = 2,859.29

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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.