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Finding the Fourth Proportional to 2,995.92, 4,493.75 and 1,147.91

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Solution

The fourth proportional to 2,995.92, 4,493.75 and 1,147.91 is: 1,721.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,995.92 : 4,493.75 = 1,147.91 : x
  2. Step 2: Convert to fraction form
    2,995.92/4,493.75 = 1,147.91/x
  3. Step 3: Cross multiply
    2,995.92x = 4,493.75 × 1,147.91
  4. Step 4: Simplify right side
    2,995.92x = 5,158,392.35
  5. Step 5: Solve for x
    x = 5,158,392.35/2,995.92
  6. Step 6: Final answer
    x = 1,721.81

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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.