Home / 2,274.20-3,409.43-976.58

Finding the Fourth Proportional to 2,274.20, 3,409.43 and 976.58

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Solution

The fourth proportional to 2,274.20, 3,409.43 and 976.58 is: 1,464.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,274.20 : 3,409.43 = 976.58 : x
  2. Step 2: Convert to fraction form
    2,274.20/3,409.43 = 976.58/x
  3. Step 3: Cross multiply
    2,274.20x = 3,409.43 × 976.58
  4. Step 4: Simplify right side
    2,274.20x = 3,329,559.22
  5. Step 5: Solve for x
    x = 3,329,559.22/2,274.20
  6. Step 6: Final answer
    x = 1,464.06

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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.