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Finding the Fourth Proportional to 1,995.80, 2,754.21 and 1,156.66

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Solution

The fourth proportional to 1,995.80, 2,754.21 and 1,156.66 is: 1,596.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,995.80 : 2,754.21 = 1,156.66 : x
  2. Step 2: Convert to fraction form
    1,995.80/2,754.21 = 1,156.66/x
  3. Step 3: Cross multiply
    1,995.80x = 2,754.21 × 1,156.66
  4. Step 4: Simplify right side
    1,995.80x = 3,185,689.35
  5. Step 5: Solve for x
    x = 3,185,689.35/1,995.80
  6. Step 6: Final answer
    x = 1,596.20

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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.