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Finding the Fourth Proportional to 2,798.82, 3,862.08 and 1,619.66

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Solution

The fourth proportional to 2,798.82, 3,862.08 and 1,619.66 is: 2,234.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,798.82 : 3,862.08 = 1,619.66 : x
  2. Step 2: Convert to fraction form
    2,798.82/3,862.08 = 1,619.66/x
  3. Step 3: Cross multiply
    2,798.82x = 3,862.08 × 1,619.66
  4. Step 4: Simplify right side
    2,798.82x = 6,255,266.15
  5. Step 5: Solve for x
    x = 6,255,266.15/2,798.82
  6. Step 6: Final answer
    x = 2,234.97

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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.