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Finding the Fourth Proportional to 3,089.12, 4,633.44 and 1,789.76

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Solution

The fourth proportional to 3,089.12, 4,633.44 and 1,789.76 is: 2,684.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,089.12 : 4,633.44 = 1,789.76 : x
  2. Step 2: Convert to fraction form
    3,089.12/4,633.44 = 1,789.76/x
  3. Step 3: Cross multiply
    3,089.12x = 4,633.44 × 1,789.76
  4. Step 4: Simplify right side
    3,089.12x = 8,292,745.57
  5. Step 5: Solve for x
    x = 8,292,745.57/3,089.12
  6. Step 6: Final answer
    x = 2,684.50

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Why These Related Problems?

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