Home / 2,004.90-2,765.79-1,414.14

Finding the Fourth Proportional to 2,004.90, 2,765.79 and 1,414.14

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Solution

The fourth proportional to 2,004.90, 2,765.79 and 1,414.14 is: 1,950.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,004.90 : 2,765.79 = 1,414.14 : x
  2. Step 2: Convert to fraction form
    2,004.90/2,765.79 = 1,414.14/x
  3. Step 3: Cross multiply
    2,004.90x = 2,765.79 × 1,414.14
  4. Step 4: Simplify right side
    2,004.90x = 3,911,214.27
  5. Step 5: Solve for x
    x = 3,911,214.27/2,004.90
  6. Step 6: Final answer
    x = 1,950.83

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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.