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Finding the Fourth Proportional to 2,029.73, 3,043.44 and 795.70

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Solution

The fourth proportional to 2,029.73, 3,043.44 and 795.70 is: 1,193.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,029.73 : 3,043.44 = 795.70 : x
  2. Step 2: Convert to fraction form
    2,029.73/3,043.44 = 795.70/x
  3. Step 3: Cross multiply
    2,029.73x = 3,043.44 × 795.70
  4. Step 4: Simplify right side
    2,029.73x = 2,421,665.21
  5. Step 5: Solve for x
    x = 2,421,665.21/2,029.73
  6. Step 6: Final answer
    x = 1,193.10

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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.