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Finding the Fourth Proportional to 2,080.01, 2,870.67 and 1,195.82

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Solution

The fourth proportional to 2,080.01, 2,870.67 and 1,195.82 is: 1,650.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,080.01 : 2,870.67 = 1,195.82 : x
  2. Step 2: Convert to fraction form
    2,080.01/2,870.67 = 1,195.82/x
  3. Step 3: Cross multiply
    2,080.01x = 2,870.67 × 1,195.82
  4. Step 4: Simplify right side
    2,080.01x = 3,432,790.25
  5. Step 5: Solve for x
    x = 3,432,790.25/2,080.01
  6. Step 6: Final answer
    x = 1,650.38

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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.