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Finding the Fourth Proportional to 2,272.59, 3,410.06 and 1,786.59

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Solution

The fourth proportional to 2,272.59, 3,410.06 and 1,786.59 is: 2,680.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,272.59 : 3,410.06 = 1,786.59 : x
  2. Step 2: Convert to fraction form
    2,272.59/3,410.06 = 1,786.59/x
  3. Step 3: Cross multiply
    2,272.59x = 3,410.06 × 1,786.59
  4. Step 4: Simplify right side
    2,272.59x = 6,092,370.16
  5. Step 5: Solve for x
    x = 6,092,370.16/2,272.59
  6. Step 6: Final answer
    x = 2,680.80

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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.