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Finding the Fourth Proportional to 2,160.47, 3,238.83 and 861.09

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Solution

The fourth proportional to 2,160.47, 3,238.83 and 861.09 is: 1,290.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,160.47 : 3,238.83 = 861.09 : x
  2. Step 2: Convert to fraction form
    2,160.47/3,238.83 = 861.09/x
  3. Step 3: Cross multiply
    2,160.47x = 3,238.83 × 861.09
  4. Step 4: Simplify right side
    2,160.47x = 2,788,924.12
  5. Step 5: Solve for x
    x = 2,788,924.12/2,160.47
  6. Step 6: Final answer
    x = 1,290.89

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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.