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Finding the Fourth Proportional to 1,995.88, 2,754.46 and 1,156.80

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Solution

The fourth proportional to 1,995.88, 2,754.46 and 1,156.80 is: 1,596.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,995.88 : 2,754.46 = 1,156.80 : x
  2. Step 2: Convert to fraction form
    1,995.88/2,754.46 = 1,156.80/x
  3. Step 3: Cross multiply
    1,995.88x = 2,754.46 × 1,156.80
  4. Step 4: Simplify right side
    1,995.88x = 3,186,359.33
  5. Step 5: Solve for x
    x = 3,186,359.33/1,995.88
  6. Step 6: Final answer
    x = 1,596.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.