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Finding the Fourth Proportional to 2,297.26, 3,429.23 and 2,125.94

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Solution

The fourth proportional to 2,297.26, 3,429.23 and 2,125.94 is: 3,173.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,297.26 : 3,429.23 = 2,125.94 : x
  2. Step 2: Convert to fraction form
    2,297.26/3,429.23 = 2,125.94/x
  3. Step 3: Cross multiply
    2,297.26x = 3,429.23 × 2,125.94
  4. Step 4: Simplify right side
    2,297.26x = 7,290,326.60
  5. Step 5: Solve for x
    x = 7,290,326.60/2,297.26
  6. Step 6: Final answer
    x = 3,173.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.