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Finding the Fourth Proportional to 2,377.30, 3,566.40 and 896.44

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Solution

The fourth proportional to 2,377.30, 3,566.40 and 896.44 is: 1,344.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,377.30 : 3,566.40 = 896.44 : x
  2. Step 2: Convert to fraction form
    2,377.30/3,566.40 = 896.44/x
  3. Step 3: Cross multiply
    2,377.30x = 3,566.40 × 896.44
  4. Step 4: Simplify right side
    2,377.30x = 3,197,063.62
  5. Step 5: Solve for x
    x = 3,197,063.62/2,377.30
  6. Step 6: Final answer
    x = 1,344.83

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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.