Home / 2,028.82-3,043.54-712.93

Finding the Fourth Proportional to 2,028.82, 3,043.54 and 712.93

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Solution

The fourth proportional to 2,028.82, 3,043.54 and 712.93 is: 1,069.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,028.82 : 3,043.54 = 712.93 : x
  2. Step 2: Convert to fraction form
    2,028.82/3,043.54 = 712.93/x
  3. Step 3: Cross multiply
    2,028.82x = 3,043.54 × 712.93
  4. Step 4: Simplify right side
    2,028.82x = 2,169,830.97
  5. Step 5: Solve for x
    x = 2,169,830.97/2,028.82
  6. Step 6: Final answer
    x = 1,069.50

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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.