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Finding the Fourth Proportional to 2,160.58, 3,238.94 and 844.03

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Solution

The fourth proportional to 2,160.58, 3,238.94 and 844.03 is: 1,265.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,160.58 : 3,238.94 = 844.03 : x
  2. Step 2: Convert to fraction form
    2,160.58/3,238.94 = 844.03/x
  3. Step 3: Cross multiply
    2,160.58x = 3,238.94 × 844.03
  4. Step 4: Simplify right side
    2,160.58x = 2,733,758.39
  5. Step 5: Solve for x
    x = 2,733,758.39/2,160.58
  6. Step 6: Final answer
    x = 1,265.29

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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.