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Finding the Fourth Proportional to 3,456.68, 4,770.50 and 1,965.06

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Solution

The fourth proportional to 3,456.68, 4,770.50 and 1,965.06 is: 2,711.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,456.68 : 4,770.50 = 1,965.06 : x
  2. Step 2: Convert to fraction form
    3,456.68/4,770.50 = 1,965.06/x
  3. Step 3: Cross multiply
    3,456.68x = 4,770.50 × 1,965.06
  4. Step 4: Simplify right side
    3,456.68x = 9,374,308.90
  5. Step 5: Solve for x
    x = 9,374,308.90/3,456.68
  6. Step 6: Final answer
    x = 2,711.94

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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.