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Finding the Fourth Proportional to 2,496.82, 3,744.93 and 853.54

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Solution

The fourth proportional to 2,496.82, 3,744.93 and 853.54 is: 1,280.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,496.82 : 3,744.93 = 853.54 : x
  2. Step 2: Convert to fraction form
    2,496.82/3,744.93 = 853.54/x
  3. Step 3: Cross multiply
    2,496.82x = 3,744.93 × 853.54
  4. Step 4: Simplify right side
    2,496.82x = 3,196,447.55
  5. Step 5: Solve for x
    x = 3,196,447.55/2,496.82
  6. Step 6: Final answer
    x = 1,280.21

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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.