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Finding the Fourth Proportional to 2,072.85, 3,107.73 and 1,250.94

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Solution

The fourth proportional to 2,072.85, 3,107.73 and 1,250.94 is: 1,875.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,072.85 : 3,107.73 = 1,250.94 : x
  2. Step 2: Convert to fraction form
    2,072.85/3,107.73 = 1,250.94/x
  3. Step 3: Cross multiply
    2,072.85x = 3,107.73 × 1,250.94
  4. Step 4: Simplify right side
    2,072.85x = 3,887,583.77
  5. Step 5: Solve for x
    x = 3,887,583.77/2,072.85
  6. Step 6: Final answer
    x = 1,875.48

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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.