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Finding the Fourth Proportional to 2,896.18, 4,344.20 and 704.88

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Solution

The fourth proportional to 2,896.18, 4,344.20 and 704.88 is: 1,057.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,896.18 : 4,344.20 = 704.88 : x
  2. Step 2: Convert to fraction form
    2,896.18/4,344.20 = 704.88/x
  3. Step 3: Cross multiply
    2,896.18x = 4,344.20 × 704.88
  4. Step 4: Simplify right side
    2,896.18x = 3,062,139.70
  5. Step 5: Solve for x
    x = 3,062,139.70/2,896.18
  6. Step 6: Final answer
    x = 1,057.30

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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.