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Finding the Fourth Proportional to 2,884.68, 4,322.70 and 1,729.08

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Solution

The fourth proportional to 2,884.68, 4,322.70 and 1,729.08 is: 2,591.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,884.68 : 4,322.70 = 1,729.08 : x
  2. Step 2: Convert to fraction form
    2,884.68/4,322.70 = 1,729.08/x
  3. Step 3: Cross multiply
    2,884.68x = 4,322.70 × 1,729.08
  4. Step 4: Simplify right side
    2,884.68x = 7,474,294.12
  5. Step 5: Solve for x
    x = 7,474,294.12/2,884.68
  6. Step 6: Final answer
    x = 2,591.03

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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.