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Finding the Fourth Proportional to 2,028.85, 3,043.85 and 642.26

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Solution

The fourth proportional to 2,028.85, 3,043.85 and 642.26 is: 963.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,028.85 : 3,043.85 = 642.26 : x
  2. Step 2: Convert to fraction form
    2,028.85/3,043.85 = 642.26/x
  3. Step 3: Cross multiply
    2,028.85x = 3,043.85 × 642.26
  4. Step 4: Simplify right side
    2,028.85x = 1,954,947.50
  5. Step 5: Solve for x
    x = 1,954,947.50/2,028.85
  6. Step 6: Final answer
    x = 963.58

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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.