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Finding the Fourth Proportional to 2,549.97, 3,824.73 and 701.03

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Solution

The fourth proportional to 2,549.97, 3,824.73 and 701.03 is: 1,051.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,549.97 : 3,824.73 = 701.03 : x
  2. Step 2: Convert to fraction form
    2,549.97/3,824.73 = 701.03/x
  3. Step 3: Cross multiply
    2,549.97x = 3,824.73 × 701.03
  4. Step 4: Simplify right side
    2,549.97x = 2,681,231.35
  5. Step 5: Solve for x
    x = 2,681,231.35/2,549.97
  6. Step 6: Final answer
    x = 1,051.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.