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Finding the Fourth Proportional to 2,295.82, 3,169.75 and 1,763.75

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Solution

The fourth proportional to 2,295.82, 3,169.75 and 1,763.75 is: 2,435.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,295.82 : 3,169.75 = 1,763.75 : x
  2. Step 2: Convert to fraction form
    2,295.82/3,169.75 = 1,763.75/x
  3. Step 3: Cross multiply
    2,295.82x = 3,169.75 × 1,763.75
  4. Step 4: Simplify right side
    2,295.82x = 5,590,650.97
  5. Step 5: Solve for x
    x = 5,590,650.97/2,295.82
  6. Step 6: Final answer
    x = 2,435.14

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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.