Home / 2,028.57-3,043.26-730.14

Finding the Fourth Proportional to 2,028.57, 3,043.26 and 730.14

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Solution

The fourth proportional to 2,028.57, 3,043.26 and 730.14 is: 1,095.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,028.57 : 3,043.26 = 730.14 : x
  2. Step 2: Convert to fraction form
    2,028.57/3,043.26 = 730.14/x
  3. Step 3: Cross multiply
    2,028.57x = 3,043.26 × 730.14
  4. Step 4: Simplify right side
    2,028.57x = 2,222,005.86
  5. Step 5: Solve for x
    x = 2,222,005.86/2,028.57
  6. Step 6: Final answer
    x = 1,095.36

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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.