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Finding the Fourth Proportional to 1,912.77, 2,639.64 and 1,116.14

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Solution

The fourth proportional to 1,912.77, 2,639.64 and 1,116.14 is: 1,540.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,912.77 : 2,639.64 = 1,116.14 : x
  2. Step 2: Convert to fraction form
    1,912.77/2,639.64 = 1,116.14/x
  3. Step 3: Cross multiply
    1,912.77x = 2,639.64 × 1,116.14
  4. Step 4: Simplify right side
    1,912.77x = 2,946,194.59
  5. Step 5: Solve for x
    x = 2,946,194.59/1,912.77
  6. Step 6: Final answer
    x = 1,540.28

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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.