Home / 2,208.98-3,313.29-976.43

Finding the Fourth Proportional to 2,208.98, 3,313.29 and 976.43

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Solution

The fourth proportional to 2,208.98, 3,313.29 and 976.43 is: 1,464.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,208.98 : 3,313.29 = 976.43 : x
  2. Step 2: Convert to fraction form
    2,208.98/3,313.29 = 976.43/x
  3. Step 3: Cross multiply
    2,208.98x = 3,313.29 × 976.43
  4. Step 4: Simplify right side
    2,208.98x = 3,235,179.19
  5. Step 5: Solve for x
    x = 3,235,179.19/2,208.98
  6. Step 6: Final answer
    x = 1,464.56

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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.