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Finding the Fourth Proportional to 2,290.88, 3,163.23 and 1,792.68

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Solution

The fourth proportional to 2,290.88, 3,163.23 and 1,792.68 is: 2,475.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,290.88 : 3,163.23 = 1,792.68 : x
  2. Step 2: Convert to fraction form
    2,290.88/3,163.23 = 1,792.68/x
  3. Step 3: Cross multiply
    2,290.88x = 3,163.23 × 1,792.68
  4. Step 4: Simplify right side
    2,290.88x = 5,670,659.16
  5. Step 5: Solve for x
    x = 5,670,659.16/2,290.88
  6. Step 6: Final answer
    x = 2,475.32

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Why These Related Problems?

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