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Finding the Fourth Proportional to 3,092.46, 4,267.62 and 1,695.22

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Solution

The fourth proportional to 3,092.46, 4,267.62 and 1,695.22 is: 2,339.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,092.46 : 4,267.62 = 1,695.22 : x
  2. Step 2: Convert to fraction form
    3,092.46/4,267.62 = 1,695.22/x
  3. Step 3: Cross multiply
    3,092.46x = 4,267.62 × 1,695.22
  4. Step 4: Simplify right side
    3,092.46x = 7,234,554.78
  5. Step 5: Solve for x
    x = 7,234,554.78/3,092.46
  6. Step 6: Final answer
    x = 2,339.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.