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Finding the Fourth Proportional to 2,029.62, 3,043.25 and 795.58

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Solution

The fourth proportional to 2,029.62, 3,043.25 and 795.58 is: 1,192.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,029.62 : 3,043.25 = 795.58 : x
  2. Step 2: Convert to fraction form
    2,029.62/3,043.25 = 795.58/x
  3. Step 3: Cross multiply
    2,029.62x = 3,043.25 × 795.58
  4. Step 4: Simplify right side
    2,029.62x = 2,421,144.86
  5. Step 5: Solve for x
    x = 2,421,144.86/2,029.62
  6. Step 6: Final answer
    x = 1,192.91

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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.