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Finding the Fourth Proportional to 2,275.25, 3,413.42 and 736.25

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Solution

The fourth proportional to 2,275.25, 3,413.42 and 736.25 is: 1,104.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,275.25 : 3,413.42 = 736.25 : x
  2. Step 2: Convert to fraction form
    2,275.25/3,413.42 = 736.25/x
  3. Step 3: Cross multiply
    2,275.25x = 3,413.42 × 736.25
  4. Step 4: Simplify right side
    2,275.25x = 2,513,126.79
  5. Step 5: Solve for x
    x = 2,513,126.79/2,275.25
  6. Step 6: Final answer
    x = 1,104.55

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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.