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Finding the Fourth Proportional to 1,995.06, 2,992.83 and 534.26

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Solution

The fourth proportional to 1,995.06, 2,992.83 and 534.26 is: 801.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,995.06 : 2,992.83 = 534.26 : x
  2. Step 2: Convert to fraction form
    1,995.06/2,992.83 = 534.26/x
  3. Step 3: Cross multiply
    1,995.06x = 2,992.83 × 534.26
  4. Step 4: Simplify right side
    1,995.06x = 1,598,949.36
  5. Step 5: Solve for x
    x = 1,598,949.36/1,995.06
  6. Step 6: Final answer
    x = 801.45

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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.