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Finding the Fourth Proportional to 2,650.34, 3,976.65 and 1,263.69

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Solution

The fourth proportional to 2,650.34, 3,976.65 and 1,263.69 is: 1,896.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,650.34 : 3,976.65 = 1,263.69 : x
  2. Step 2: Convert to fraction form
    2,650.34/3,976.65 = 1,263.69/x
  3. Step 3: Cross multiply
    2,650.34x = 3,976.65 × 1,263.69
  4. Step 4: Simplify right side
    2,650.34x = 5,025,252.84
  5. Step 5: Solve for x
    x = 5,025,252.84/2,650.34
  6. Step 6: Final answer
    x = 1,896.08

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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.