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Finding the Fourth Proportional to 3,147.98, 4,713.08 and 1,663.84

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Solution

The fourth proportional to 3,147.98, 4,713.08 and 1,663.84 is: 2,491.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,147.98 : 4,713.08 = 1,663.84 : x
  2. Step 2: Convert to fraction form
    3,147.98/4,713.08 = 1,663.84/x
  3. Step 3: Cross multiply
    3,147.98x = 4,713.08 × 1,663.84
  4. Step 4: Simplify right side
    3,147.98x = 7,841,811.03
  5. Step 5: Solve for x
    x = 7,841,811.03/3,147.98
  6. Step 6: Final answer
    x = 2,491.06

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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.