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Finding the Fourth Proportional to 1,609.97, 2,413.74 and 635.81

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Solution

The fourth proportional to 1,609.97, 2,413.74 and 635.81 is: 953.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,609.97 : 2,413.74 = 635.81 : x
  2. Step 2: Convert to fraction form
    1,609.97/2,413.74 = 635.81/x
  3. Step 3: Cross multiply
    1,609.97x = 2,413.74 × 635.81
  4. Step 4: Simplify right side
    1,609.97x = 1,534,680.03
  5. Step 5: Solve for x
    x = 1,534,680.03/1,609.97
  6. Step 6: Final answer
    x = 953.24

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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.