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Finding the Fourth Proportional to 3,092.99, 4,267.63 and 1,766.27

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Solution

The fourth proportional to 3,092.99, 4,267.63 and 1,766.27 is: 2,437.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,092.99 : 4,267.63 = 1,766.27 : x
  2. Step 2: Convert to fraction form
    3,092.99/4,267.63 = 1,766.27/x
  3. Step 3: Cross multiply
    3,092.99x = 4,267.63 × 1,766.27
  4. Step 4: Simplify right side
    3,092.99x = 7,537,786.84
  5. Step 5: Solve for x
    x = 7,537,786.84/3,092.99
  6. Step 6: Final answer
    x = 2,437.06

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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.