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Finding the Fourth Proportional to 2,292.33, 3,163.67 and 1,918.65

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Solution

The fourth proportional to 2,292.33, 3,163.67 and 1,918.65 is: 2,647.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,292.33 : 3,163.67 = 1,918.65 : x
  2. Step 2: Convert to fraction form
    2,292.33/3,163.67 = 1,918.65/x
  3. Step 3: Cross multiply
    2,292.33x = 3,163.67 × 1,918.65
  4. Step 4: Simplify right side
    2,292.33x = 6,069,975.45
  5. Step 5: Solve for x
    x = 6,069,975.45/2,292.33
  6. Step 6: Final answer
    x = 2,647.95

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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.