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Finding the Fourth Proportional to 2,810, 3,879.54 and 1,763.48

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Solution

The fourth proportional to 2,810, 3,879.54 and 1,763.48 is: 2,434.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,810 : 3,879.54 = 1,763.48 : x
  2. Step 2: Convert to fraction form
    2,810/3,879.54 = 1,763.48/x
  3. Step 3: Cross multiply
    2,810x = 3,879.54 × 1,763.48
  4. Step 4: Simplify right side
    2,810x = 6,841,491.20
  5. Step 5: Solve for x
    x = 6,841,491.20/2,810
  6. Step 6: Final answer
    x = 2,434.69

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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.