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Finding the Fourth Proportional to 2,126.62, 3,189.46 and 895.42

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Solution

The fourth proportional to 2,126.62, 3,189.46 and 895.42 is: 1,342.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,126.62 : 3,189.46 = 895.42 : x
  2. Step 2: Convert to fraction form
    2,126.62/3,189.46 = 895.42/x
  3. Step 3: Cross multiply
    2,126.62x = 3,189.46 × 895.42
  4. Step 4: Simplify right side
    2,126.62x = 2,855,906.27
  5. Step 5: Solve for x
    x = 2,855,906.27/2,126.62
  6. Step 6: Final answer
    x = 1,342.93

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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.