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Finding the Fourth Proportional to 2,028.77, 3,044.36 and 858.71

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Solution

The fourth proportional to 2,028.77, 3,044.36 and 858.71 is: 1,288.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,028.77 : 3,044.36 = 858.71 : x
  2. Step 2: Convert to fraction form
    2,028.77/3,044.36 = 858.71/x
  3. Step 3: Cross multiply
    2,028.77x = 3,044.36 × 858.71
  4. Step 4: Simplify right side
    2,028.77x = 2,614,218.08
  5. Step 5: Solve for x
    x = 2,614,218.08/2,028.77
  6. Step 6: Final answer
    x = 1,288.57

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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.