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Finding the Fourth Proportional to 2,855.42, 3,940.50 and 1,676.51

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Solution

The fourth proportional to 2,855.42, 3,940.50 and 1,676.51 is: 2,313.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,855.42 : 3,940.50 = 1,676.51 : x
  2. Step 2: Convert to fraction form
    2,855.42/3,940.50 = 1,676.51/x
  3. Step 3: Cross multiply
    2,855.42x = 3,940.50 × 1,676.51
  4. Step 4: Simplify right side
    2,855.42x = 6,606,267.95
  5. Step 5: Solve for x
    x = 6,606,267.95/2,855.42
  6. Step 6: Final answer
    x = 2,313.59

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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.