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Finding the Fourth Proportional to 2,028.50, 3,042.76 and 489.50

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Solution

The fourth proportional to 2,028.50, 3,042.76 and 489.50 is: 734.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,028.50 : 3,042.76 = 489.50 : x
  2. Step 2: Convert to fraction form
    2,028.50/3,042.76 = 489.50/x
  3. Step 3: Cross multiply
    2,028.50x = 3,042.76 × 489.50
  4. Step 4: Simplify right side
    2,028.50x = 1,489,431.02
  5. Step 5: Solve for x
    x = 1,489,431.02/2,028.50
  6. Step 6: Final answer
    x = 734.25

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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.