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Finding the Fourth Proportional to 1,661.26, 2,292.24 and 952.96

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Solution

The fourth proportional to 1,661.26, 2,292.24 and 952.96 is: 1,314.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,661.26 : 2,292.24 = 952.96 : x
  2. Step 2: Convert to fraction form
    1,661.26/2,292.24 = 952.96/x
  3. Step 3: Cross multiply
    1,661.26x = 2,292.24 × 952.96
  4. Step 4: Simplify right side
    1,661.26x = 2,184,413.03
  5. Step 5: Solve for x
    x = 2,184,413.03/1,661.26
  6. Step 6: Final answer
    x = 1,314.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.