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Finding the Fourth Proportional to 3,089.92, 4,633.44 and 1,791.76

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Solution

The fourth proportional to 3,089.92, 4,633.44 and 1,791.76 is: 2,686.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,089.92 : 4,633.44 = 1,791.76 : x
  2. Step 2: Convert to fraction form
    3,089.92/4,633.44 = 1,791.76/x
  3. Step 3: Cross multiply
    3,089.92x = 4,633.44 × 1,791.76
  4. Step 4: Simplify right side
    3,089.92x = 8,302,012.45
  5. Step 5: Solve for x
    x = 8,302,012.45/3,089.92
  6. Step 6: Final answer
    x = 2,686.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.