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Finding the Fourth Proportional to 2,147.68, 2,966.13 and 1,729.41

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Solution

The fourth proportional to 2,147.68, 2,966.13 and 1,729.41 is: 2,388.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,147.68 : 2,966.13 = 1,729.41 : x
  2. Step 2: Convert to fraction form
    2,147.68/2,966.13 = 1,729.41/x
  3. Step 3: Cross multiply
    2,147.68x = 2,966.13 × 1,729.41
  4. Step 4: Simplify right side
    2,147.68x = 5,129,654.88
  5. Step 5: Solve for x
    x = 5,129,654.88/2,147.68
  6. Step 6: Final answer
    x = 2,388.46

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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.