Home / 2,546.74-3,815.79-2,028.34

Finding the Fourth Proportional to 2,546.74, 3,815.79 and 2,028.34

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Solution

The fourth proportional to 2,546.74, 3,815.79 and 2,028.34 is: 3,039.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,546.74 : 3,815.79 = 2,028.34 : x
  2. Step 2: Convert to fraction form
    2,546.74/3,815.79 = 2,028.34/x
  3. Step 3: Cross multiply
    2,546.74x = 3,815.79 × 2,028.34
  4. Step 4: Simplify right side
    2,546.74x = 7,739,719.49
  5. Step 5: Solve for x
    x = 7,739,719.49/2,546.74
  6. Step 6: Final answer
    x = 3,039.07

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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.