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Finding the Fourth Proportional to 2,798.44, 3,862.38 and 1,680.28

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Solution

The fourth proportional to 2,798.44, 3,862.38 and 1,680.28 is: 2,319.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,798.44 : 3,862.38 = 1,680.28 : x
  2. Step 2: Convert to fraction form
    2,798.44/3,862.38 = 1,680.28/x
  3. Step 3: Cross multiply
    2,798.44x = 3,862.38 × 1,680.28
  4. Step 4: Simplify right side
    2,798.44x = 6,489,879.87
  5. Step 5: Solve for x
    x = 6,489,879.87/2,798.44
  6. Step 6: Final answer
    x = 2,319.11

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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.