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Finding the Fourth Proportional to 2,269.49, 3,129.49 and 1,796.63

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Solution

The fourth proportional to 2,269.49, 3,129.49 and 1,796.63 is: 2,477.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,269.49 : 3,129.49 = 1,796.63 : x
  2. Step 2: Convert to fraction form
    2,269.49/3,129.49 = 1,796.63/x
  3. Step 3: Cross multiply
    2,269.49x = 3,129.49 × 1,796.63
  4. Step 4: Simplify right side
    2,269.49x = 5,622,515.48
  5. Step 5: Solve for x
    x = 5,622,515.48/2,269.49
  6. Step 6: Final answer
    x = 2,477.43

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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.