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Finding the Fourth Proportional to 3,412.96, 4,710.56 and 1,996.80

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Solution

The fourth proportional to 3,412.96, 4,710.56 and 1,996.80 is: 2,755.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,412.96 : 4,710.56 = 1,996.80 : x
  2. Step 2: Convert to fraction form
    3,412.96/4,710.56 = 1,996.80/x
  3. Step 3: Cross multiply
    3,412.96x = 4,710.56 × 1,996.80
  4. Step 4: Simplify right side
    3,412.96x = 9,406,046.21
  5. Step 5: Solve for x
    x = 9,406,046.21/3,412.96
  6. Step 6: Final answer
    x = 2,755.98

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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.