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Finding the Fourth Proportional to 2,896.63, 4,345.75 and 950.20

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Solution

The fourth proportional to 2,896.63, 4,345.75 and 950.20 is: 1,425.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,896.63 : 4,345.75 = 950.20 : x
  2. Step 2: Convert to fraction form
    2,896.63/4,345.75 = 950.20/x
  3. Step 3: Cross multiply
    2,896.63x = 4,345.75 × 950.20
  4. Step 4: Simplify right side
    2,896.63x = 4,129,321.97
  5. Step 5: Solve for x
    x = 4,129,321.97/2,896.63
  6. Step 6: Final answer
    x = 1,425.56

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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.