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Finding the Fourth Proportional to 2,429.76, 3,645.22 and 786.26

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Solution

The fourth proportional to 2,429.76, 3,645.22 and 786.26 is: 1,179.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,429.76 : 3,645.22 = 786.26 : x
  2. Step 2: Convert to fraction form
    2,429.76/3,645.22 = 786.26/x
  3. Step 3: Cross multiply
    2,429.76x = 3,645.22 × 786.26
  4. Step 4: Simplify right side
    2,429.76x = 2,866,090.68
  5. Step 5: Solve for x
    x = 2,866,090.68/2,429.76
  6. Step 6: Final answer
    x = 1,179.58

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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.