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Finding the Fourth Proportional to 3,021.88, 4,170.21 and 1,695.71

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Solution

The fourth proportional to 3,021.88, 4,170.21 and 1,695.71 is: 2,340.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,021.88 : 4,170.21 = 1,695.71 : x
  2. Step 2: Convert to fraction form
    3,021.88/4,170.21 = 1,695.71/x
  3. Step 3: Cross multiply
    3,021.88x = 4,170.21 × 1,695.71
  4. Step 4: Simplify right side
    3,021.88x = 7,071,466.80
  5. Step 5: Solve for x
    x = 7,071,466.80/3,021.88
  6. Step 6: Final answer
    x = 2,340.09

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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.