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Finding the Fourth Proportional to 2,170.89, 2,992.34 and 1,697.97

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Solution

The fourth proportional to 2,170.89, 2,992.34 and 1,697.97 is: 2,340.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,170.89 : 2,992.34 = 1,697.97 : x
  2. Step 2: Convert to fraction form
    2,170.89/2,992.34 = 1,697.97/x
  3. Step 3: Cross multiply
    2,170.89x = 2,992.34 × 1,697.97
  4. Step 4: Simplify right side
    2,170.89x = 5,080,895.06
  5. Step 5: Solve for x
    x = 5,080,895.06/2,170.89
  6. Step 6: Final answer
    x = 2,340.47

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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.