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Finding the Fourth Proportional to 1,995.99, 2,996.63 and 1,705.35

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Solution

The fourth proportional to 1,995.99, 2,996.63 and 1,705.35 is: 2,560.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,995.99 : 2,996.63 = 1,705.35 : x
  2. Step 2: Convert to fraction form
    1,995.99/2,996.63 = 1,705.35/x
  3. Step 3: Cross multiply
    1,995.99x = 2,996.63 × 1,705.35
  4. Step 4: Simplify right side
    1,995.99x = 5,110,294.44
  5. Step 5: Solve for x
    x = 5,110,294.44/1,995.99
  6. Step 6: Final answer
    x = 2,560.28

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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.