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Finding the Fourth Proportional to 2,896.92, 4,347 and 1,165.68

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Solution

The fourth proportional to 2,896.92, 4,347 and 1,165.68 is: 1,749.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,896.92 : 4,347 = 1,165.68 : x
  2. Step 2: Convert to fraction form
    2,896.92/4,347 = 1,165.68/x
  3. Step 3: Cross multiply
    2,896.92x = 4,347 × 1,165.68
  4. Step 4: Simplify right side
    2,896.92x = 5,067,210.96
  5. Step 5: Solve for x
    x = 5,067,210.96/2,896.92
  6. Step 6: Final answer
    x = 1,749.17

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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.