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Finding the Fourth Proportional to 2,504.25, 3,456.03 and 1,400.25

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Solution

The fourth proportional to 2,504.25, 3,456.03 and 1,400.25 is: 1,932.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,504.25 : 3,456.03 = 1,400.25 : x
  2. Step 2: Convert to fraction form
    2,504.25/3,456.03 = 1,400.25/x
  3. Step 3: Cross multiply
    2,504.25x = 3,456.03 × 1,400.25
  4. Step 4: Simplify right side
    2,504.25x = 4,839,299.01
  5. Step 5: Solve for x
    x = 4,839,299.01/2,504.25
  6. Step 6: Final answer
    x = 1,932.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.