Home / 1,828.80-2,522.21-1,408.68

Finding the Fourth Proportional to 1,828.80, 2,522.21 and 1,408.68

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Solution

The fourth proportional to 1,828.80, 2,522.21 and 1,408.68 is: 1,942.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,828.80 : 2,522.21 = 1,408.68 : x
  2. Step 2: Convert to fraction form
    1,828.80/2,522.21 = 1,408.68/x
  3. Step 3: Cross multiply
    1,828.80x = 2,522.21 × 1,408.68
  4. Step 4: Simplify right side
    1,828.80x = 3,552,979.74
  5. Step 5: Solve for x
    x = 3,552,979.74/1,828.80
  6. Step 6: Final answer
    x = 1,942.79

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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.