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Finding the Fourth Proportional to 2,673.54, 4,010.73 and 942.06

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Solution

The fourth proportional to 2,673.54, 4,010.73 and 942.06 is: 1,413.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,673.54 : 4,010.73 = 942.06 : x
  2. Step 2: Convert to fraction form
    2,673.54/4,010.73 = 942.06/x
  3. Step 3: Cross multiply
    2,673.54x = 4,010.73 × 942.06
  4. Step 4: Simplify right side
    2,673.54x = 3,778,348.30
  5. Step 5: Solve for x
    x = 3,778,348.30/2,673.54
  6. Step 6: Final answer
    x = 1,413.24

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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.