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Finding the Fourth Proportional to 3,453.96, 4,766.61 and 1,882.14

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Solution

The fourth proportional to 3,453.96, 4,766.61 and 1,882.14 is: 2,597.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,453.96 : 4,766.61 = 1,882.14 : x
  2. Step 2: Convert to fraction form
    3,453.96/4,766.61 = 1,882.14/x
  3. Step 3: Cross multiply
    3,453.96x = 4,766.61 × 1,882.14
  4. Step 4: Simplify right side
    3,453.96x = 8,971,427.35
  5. Step 5: Solve for x
    x = 8,971,427.35/3,453.96
  6. Step 6: Final answer
    x = 2,597.43

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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.