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Finding the Fourth Proportional to 1,995.80, 2,990.10 and 1,765.40

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Solution

The fourth proportional to 1,995.80, 2,990.10 and 1,765.40 is: 2,644.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,995.80 : 2,990.10 = 1,765.40 : x
  2. Step 2: Convert to fraction form
    1,995.80/2,990.10 = 1,765.40/x
  3. Step 3: Cross multiply
    1,995.80x = 2,990.10 × 1,765.40
  4. Step 4: Simplify right side
    1,995.80x = 5,278,722.54
  5. Step 5: Solve for x
    x = 5,278,722.54/1,995.80
  6. Step 6: Final answer
    x = 2,644.92

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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.