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Finding the Fourth Proportional to 2,650.66, 3,976.07 and 1,264.14

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Solution

The fourth proportional to 2,650.66, 3,976.07 and 1,264.14 is: 1,896.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,650.66 : 3,976.07 = 1,264.14 : x
  2. Step 2: Convert to fraction form
    2,650.66/3,976.07 = 1,264.14/x
  3. Step 3: Cross multiply
    2,650.66x = 3,976.07 × 1,264.14
  4. Step 4: Simplify right side
    2,650.66x = 5,026,302.81
  5. Step 5: Solve for x
    x = 5,026,302.81/2,650.66
  6. Step 6: Final answer
    x = 1,896.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.