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Finding the Fourth Proportional to 2,759.34, 3,808.43 and 1,581.20

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Solution

The fourth proportional to 2,759.34, 3,808.43 and 1,581.20 is: 2,182.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,759.34 : 3,808.43 = 1,581.20 : x
  2. Step 2: Convert to fraction form
    2,759.34/3,808.43 = 1,581.20/x
  3. Step 3: Cross multiply
    2,759.34x = 3,808.43 × 1,581.20
  4. Step 4: Simplify right side
    2,759.34x = 6,021,889.52
  5. Step 5: Solve for x
    x = 6,021,889.52/2,759.34
  6. Step 6: Final answer
    x = 2,182.37

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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.