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Finding the Fourth Proportional to 2,713.98, 3,743.94 and 1,828.25

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Solution

The fourth proportional to 2,713.98, 3,743.94 and 1,828.25 is: 2,522.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,713.98 : 3,743.94 = 1,828.25 : x
  2. Step 2: Convert to fraction form
    2,713.98/3,743.94 = 1,828.25/x
  3. Step 3: Cross multiply
    2,713.98x = 3,743.94 × 1,828.25
  4. Step 4: Simplify right side
    2,713.98x = 6,844,839.59
  5. Step 5: Solve for x
    x = 6,844,839.59/2,713.98
  6. Step 6: Final answer
    x = 2,522.07

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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.