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Finding the Fourth Proportional to 2,292.44, 3,163.54 and 1,348.84

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Solution

The fourth proportional to 2,292.44, 3,163.54 and 1,348.84 is: 1,861.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,292.44 : 3,163.54 = 1,348.84 : x
  2. Step 2: Convert to fraction form
    2,292.44/3,163.54 = 1,348.84/x
  3. Step 3: Cross multiply
    2,292.44x = 3,163.54 × 1,348.84
  4. Step 4: Simplify right side
    2,292.44x = 4,267,109.29
  5. Step 5: Solve for x
    x = 4,267,109.29/2,292.44
  6. Step 6: Final answer
    x = 1,861.38

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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.