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Finding the Fourth Proportional to 2,128.13, 3,191.67 and 895.56

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Solution

The fourth proportional to 2,128.13, 3,191.67 and 895.56 is: 1,343.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,128.13 : 3,191.67 = 895.56 : x
  2. Step 2: Convert to fraction form
    2,128.13/3,191.67 = 895.56/x
  3. Step 3: Cross multiply
    2,128.13x = 3,191.67 × 895.56
  4. Step 4: Simplify right side
    2,128.13x = 2,858,331.99
  5. Step 5: Solve for x
    x = 2,858,331.99/2,128.13
  6. Step 6: Final answer
    x = 1,343.12

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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.