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Finding the Fourth Proportional to 2,815.92, 3,885.03 and 1,822.46

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Solution

The fourth proportional to 2,815.92, 3,885.03 and 1,822.46 is: 2,514.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,815.92 : 3,885.03 = 1,822.46 : x
  2. Step 2: Convert to fraction form
    2,815.92/3,885.03 = 1,822.46/x
  3. Step 3: Cross multiply
    2,815.92x = 3,885.03 × 1,822.46
  4. Step 4: Simplify right side
    2,815.92x = 7,080,292.35
  5. Step 5: Solve for x
    x = 7,080,292.35/2,815.92
  6. Step 6: Final answer
    x = 2,514.38

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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.