Home / 2,048.45-2,826.78-1,209.20

Finding the Fourth Proportional to 2,048.45, 2,826.78 and 1,209.20

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Solution

The fourth proportional to 2,048.45, 2,826.78 and 1,209.20 is: 1,668.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,048.45 : 2,826.78 = 1,209.20 : x
  2. Step 2: Convert to fraction form
    2,048.45/2,826.78 = 1,209.20/x
  3. Step 3: Cross multiply
    2,048.45x = 2,826.78 × 1,209.20
  4. Step 4: Simplify right side
    2,048.45x = 3,418,142.38
  5. Step 5: Solve for x
    x = 3,418,142.38/2,048.45
  6. Step 6: Final answer
    x = 1,668.65

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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.