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Finding the Fourth Proportional to 3,081.83, 4,252.36 and 1,822.25

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Solution

The fourth proportional to 3,081.83, 4,252.36 and 1,822.25 is: 2,514.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,081.83 : 4,252.36 = 1,822.25 : x
  2. Step 2: Convert to fraction form
    3,081.83/4,252.36 = 1,822.25/x
  3. Step 3: Cross multiply
    3,081.83x = 4,252.36 × 1,822.25
  4. Step 4: Simplify right side
    3,081.83x = 7,748,852.38
  5. Step 5: Solve for x
    x = 7,748,852.38/3,081.83
  6. Step 6: Final answer
    x = 2,514.37

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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.