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Finding the Fourth Proportional to 2,030.70, 3,046.42 and 798.70

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Solution

The fourth proportional to 2,030.70, 3,046.42 and 798.70 is: 1,198.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,030.70 : 3,046.42 = 798.70 : x
  2. Step 2: Convert to fraction form
    2,030.70/3,046.42 = 798.70/x
  3. Step 3: Cross multiply
    2,030.70x = 3,046.42 × 798.70
  4. Step 4: Simplify right side
    2,030.70x = 2,433,175.65
  5. Step 5: Solve for x
    x = 2,433,175.65/2,030.70
  6. Step 6: Final answer
    x = 1,198.20

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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.