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Finding the Fourth Proportional to 2,624.25, 3,936.92 and 1,085.25

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Solution

The fourth proportional to 2,624.25, 3,936.92 and 1,085.25 is: 1,628.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,624.25 : 3,936.92 = 1,085.25 : x
  2. Step 2: Convert to fraction form
    2,624.25/3,936.92 = 1,085.25/x
  3. Step 3: Cross multiply
    2,624.25x = 3,936.92 × 1,085.25
  4. Step 4: Simplify right side
    2,624.25x = 4,272,537.00
  5. Step 5: Solve for x
    x = 4,272,537.00/2,624.25
  6. Step 6: Final answer
    x = 1,628.10

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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.