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Finding the Fourth Proportional to 2,128.09, 3,190.19 and 895.59

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Solution

The fourth proportional to 2,128.09, 3,190.19 and 895.59 is: 1,342.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,128.09 : 3,190.19 = 895.59 : x
  2. Step 2: Convert to fraction form
    2,128.09/3,190.19 = 895.59/x
  3. Step 3: Cross multiply
    2,128.09x = 3,190.19 × 895.59
  4. Step 4: Simplify right side
    2,128.09x = 2,857,097.78
  5. Step 5: Solve for x
    x = 2,857,097.78/2,128.09
  6. Step 6: Final answer
    x = 1,342.56

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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.