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Finding the Fourth Proportional to 2,276.44, 3,413.64 and 959.92

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Solution

The fourth proportional to 2,276.44, 3,413.64 and 959.92 is: 1,439.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,276.44 : 3,413.64 = 959.92 : x
  2. Step 2: Convert to fraction form
    2,276.44/3,413.64 = 959.92/x
  3. Step 3: Cross multiply
    2,276.44x = 3,413.64 × 959.92
  4. Step 4: Simplify right side
    2,276.44x = 3,276,821.31
  5. Step 5: Solve for x
    x = 3,276,821.31/2,276.44
  6. Step 6: Final answer
    x = 1,439.45

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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.