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Finding the Fourth Proportional to 3,129.94, 4,696 and 1,958.60

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Solution

The fourth proportional to 3,129.94, 4,696 and 1,958.60 is: 2,938.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,129.94 : 4,696 = 1,958.60 : x
  2. Step 2: Convert to fraction form
    3,129.94/4,696 = 1,958.60/x
  3. Step 3: Cross multiply
    3,129.94x = 4,696 × 1,958.60
  4. Step 4: Simplify right side
    3,129.94x = 9,197,585.60
  5. Step 5: Solve for x
    x = 9,197,585.60/3,129.94
  6. Step 6: Final answer
    x = 2,938.58

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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.