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Finding the Fourth Proportional to 2,029.04, 3,043.96 and 859.04

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Solution

The fourth proportional to 2,029.04, 3,043.96 and 859.04 is: 1,288.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,029.04 : 3,043.96 = 859.04 : x
  2. Step 2: Convert to fraction form
    2,029.04/3,043.96 = 859.04/x
  3. Step 3: Cross multiply
    2,029.04x = 3,043.96 × 859.04
  4. Step 4: Simplify right side
    2,029.04x = 2,614,883.40
  5. Step 5: Solve for x
    x = 2,614,883.40/2,029.04
  6. Step 6: Final answer
    x = 1,288.73

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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.