Home / 2,208.24-3,311.80-976.40

Finding the Fourth Proportional to 2,208.24, 3,311.80 and 976.40

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Solution

The fourth proportional to 2,208.24, 3,311.80 and 976.40 is: 1,464.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,208.24 : 3,311.80 = 976.40 : x
  2. Step 2: Convert to fraction form
    2,208.24/3,311.80 = 976.40/x
  3. Step 3: Cross multiply
    2,208.24x = 3,311.80 × 976.40
  4. Step 4: Simplify right side
    2,208.24x = 3,233,641.52
  5. Step 5: Solve for x
    x = 3,233,641.52/2,208.24
  6. Step 6: Final answer
    x = 1,464.35

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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.