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Finding the Fourth Proportional to 3,170.82, 4,374.99 and 1,911.54

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Solution

The fourth proportional to 3,170.82, 4,374.99 and 1,911.54 is: 2,637.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,170.82 : 4,374.99 = 1,911.54 : x
  2. Step 2: Convert to fraction form
    3,170.82/4,374.99 = 1,911.54/x
  3. Step 3: Cross multiply
    3,170.82x = 4,374.99 × 1,911.54
  4. Step 4: Simplify right side
    3,170.82x = 8,362,968.38
  5. Step 5: Solve for x
    x = 8,362,968.38/3,170.82
  6. Step 6: Final answer
    x = 2,637.48

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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.