Home / 2,149-2,965.64-1,204.84

Finding the Fourth Proportional to 2,149, 2,965.64 and 1,204.84

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Solution

The fourth proportional to 2,149, 2,965.64 and 1,204.84 is: 1,662.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,149 : 2,965.64 = 1,204.84 : x
  2. Step 2: Convert to fraction form
    2,149/2,965.64 = 1,204.84/x
  3. Step 3: Cross multiply
    2,149x = 2,965.64 × 1,204.84
  4. Step 4: Simplify right side
    2,149x = 3,573,121.70
  5. Step 5: Solve for x
    x = 3,573,121.70/2,149
  6. Step 6: Final answer
    x = 1,662.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.