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Finding the Fourth Proportional to 2,521.80, 3,481.38 and 1,961.01

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Solution

The fourth proportional to 2,521.80, 3,481.38 and 1,961.01 is: 2,707.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,521.80 : 3,481.38 = 1,961.01 : x
  2. Step 2: Convert to fraction form
    2,521.80/3,481.38 = 1,961.01/x
  3. Step 3: Cross multiply
    2,521.80x = 3,481.38 × 1,961.01
  4. Step 4: Simplify right side
    2,521.80x = 6,827,020.99
  5. Step 5: Solve for x
    x = 6,827,020.99/2,521.80
  6. Step 6: Final answer
    x = 2,707.20

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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.