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Finding the Fourth Proportional to 2,736.75, 4,101.48 and 2,277.48

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Solution

The fourth proportional to 2,736.75, 4,101.48 and 2,277.48 is: 3,413.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,736.75 : 4,101.48 = 2,277.48 : x
  2. Step 2: Convert to fraction form
    2,736.75/4,101.48 = 2,277.48/x
  3. Step 3: Cross multiply
    2,736.75x = 4,101.48 × 2,277.48
  4. Step 4: Simplify right side
    2,736.75x = 9,341,038.67
  5. Step 5: Solve for x
    x = 9,341,038.67/2,736.75
  6. Step 6: Final answer
    x = 3,413.19

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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.