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Finding the Fourth Proportional to 2,029.60, 3,042.30 and 779.85

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Solution

The fourth proportional to 2,029.60, 3,042.30 and 779.85 is: 1,168.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,029.60 : 3,042.30 = 779.85 : x
  2. Step 2: Convert to fraction form
    2,029.60/3,042.30 = 779.85/x
  3. Step 3: Cross multiply
    2,029.60x = 3,042.30 × 779.85
  4. Step 4: Simplify right side
    2,029.60x = 2,372,536.19
  5. Step 5: Solve for x
    x = 2,372,536.19/2,029.60
  6. Step 6: Final answer
    x = 1,168.97

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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.