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Finding the Fourth Proportional to 2,165.28, 3,247.21 and 704.08

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Solution

The fourth proportional to 2,165.28, 3,247.21 and 704.08 is: 1,055.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,165.28 : 3,247.21 = 704.08 : x
  2. Step 2: Convert to fraction form
    2,165.28/3,247.21 = 704.08/x
  3. Step 3: Cross multiply
    2,165.28x = 3,247.21 × 704.08
  4. Step 4: Simplify right side
    2,165.28x = 2,286,295.62
  5. Step 5: Solve for x
    x = 2,286,295.62/2,165.28
  6. Step 6: Final answer
    x = 1,055.89

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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.