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Finding the Fourth Proportional to 2,028.52, 3,042.78 and 489.52

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Solution

The fourth proportional to 2,028.52, 3,042.78 and 489.52 is: 734.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,028.52 : 3,042.78 = 489.52 : x
  2. Step 2: Convert to fraction form
    2,028.52/3,042.78 = 489.52/x
  3. Step 3: Cross multiply
    2,028.52x = 3,042.78 × 489.52
  4. Step 4: Simplify right side
    2,028.52x = 1,489,503.63
  5. Step 5: Solve for x
    x = 1,489,503.63/2,028.52
  6. Step 6: Final answer
    x = 734.28

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1.5x scale

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.