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Finding the Fourth Proportional to 2,029.55, 3,042.96 and 730.85

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Solution

The fourth proportional to 2,029.55, 3,042.96 and 730.85 is: 1,095.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,029.55 : 3,042.96 = 730.85 : x
  2. Step 2: Convert to fraction form
    2,029.55/3,042.96 = 730.85/x
  3. Step 3: Cross multiply
    2,029.55x = 3,042.96 × 730.85
  4. Step 4: Simplify right side
    2,029.55x = 2,223,932.10
  5. Step 5: Solve for x
    x = 2,223,932.10/2,029.55
  6. Step 6: Final answer
    x = 1,095.78

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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.