Home / 2,277.82-3,414.84-1,585.84

Finding the Fourth Proportional to 2,277.82, 3,414.84 and 1,585.84

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Solution

The fourth proportional to 2,277.82, 3,414.84 and 1,585.84 is: 2,377.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,277.82 : 3,414.84 = 1,585.84 : x
  2. Step 2: Convert to fraction form
    2,277.82/3,414.84 = 1,585.84/x
  3. Step 3: Cross multiply
    2,277.82x = 3,414.84 × 1,585.84
  4. Step 4: Simplify right side
    2,277.82x = 5,415,389.87
  5. Step 5: Solve for x
    x = 5,415,389.87/2,277.82
  6. Step 6: Final answer
    x = 2,377.44

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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.