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Finding the Fourth Proportional to 3,022, 4,170.02 and 1,695.52

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Solution

The fourth proportional to 3,022, 4,170.02 and 1,695.52 is: 2,339.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,022 : 4,170.02 = 1,695.52 : x
  2. Step 2: Convert to fraction form
    3,022/4,170.02 = 1,695.52/x
  3. Step 3: Cross multiply
    3,022x = 4,170.02 × 1,695.52
  4. Step 4: Simplify right side
    3,022x = 7,070,352.31
  5. Step 5: Solve for x
    x = 7,070,352.31/3,022
  6. Step 6: Final answer
    x = 2,339.63

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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.