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Finding the Fourth Proportional to 3,021.98, 4,170.12 and 1,695.88

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Solution

The fourth proportional to 3,021.98, 4,170.12 and 1,695.88 is: 2,340.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,021.98 : 4,170.12 = 1,695.88 : x
  2. Step 2: Convert to fraction form
    3,021.98/4,170.12 = 1,695.88/x
  3. Step 3: Cross multiply
    3,021.98x = 4,170.12 × 1,695.88
  4. Step 4: Simplify right side
    3,021.98x = 7,072,014.63
  5. Step 5: Solve for x
    x = 7,072,014.63/3,021.98
  6. Step 6: Final answer
    x = 2,340.20

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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.