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Finding the Fourth Proportional to 2,367.75, 3,267.50 and 1,319.79

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Solution

The fourth proportional to 2,367.75, 3,267.50 and 1,319.79 is: 1,821.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,367.75 : 3,267.50 = 1,319.79 : x
  2. Step 2: Convert to fraction form
    2,367.75/3,267.50 = 1,319.79/x
  3. Step 3: Cross multiply
    2,367.75x = 3,267.50 × 1,319.79
  4. Step 4: Simplify right side
    2,367.75x = 4,312,413.83
  5. Step 5: Solve for x
    x = 4,312,413.83/2,367.75
  6. Step 6: Final answer
    x = 1,821.31

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