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Finding the Fourth Proportional to 2,128.83, 3,194.01 and 958.71

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Solution

The fourth proportional to 2,128.83, 3,194.01 and 958.71 is: 1,438.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,128.83 : 3,194.01 = 958.71 : x
  2. Step 2: Convert to fraction form
    2,128.83/3,194.01 = 958.71/x
  3. Step 3: Cross multiply
    2,128.83x = 3,194.01 × 958.71
  4. Step 4: Simplify right side
    2,128.83x = 3,062,129.63
  5. Step 5: Solve for x
    x = 3,062,129.63/2,128.83
  6. Step 6: Final answer
    x = 1,438.41

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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.