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Finding the Fourth Proportional to 1,912.54, 2,639.10 and 1,166.70

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Solution

The fourth proportional to 1,912.54, 2,639.10 and 1,166.70 is: 1,609.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,912.54 : 2,639.10 = 1,166.70 : x
  2. Step 2: Convert to fraction form
    1,912.54/2,639.10 = 1,166.70/x
  3. Step 3: Cross multiply
    1,912.54x = 2,639.10 × 1,166.70
  4. Step 4: Simplify right side
    1,912.54x = 3,079,032.14
  5. Step 5: Solve for x
    x = 3,079,032.14/1,912.54
  6. Step 6: Final answer
    x = 1,609.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.