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Finding the Fourth Proportional to 1,912.77, 2,884.46 and 1,886.76

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Solution

The fourth proportional to 1,912.77, 2,884.46 and 1,886.76 is: 2,845.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,912.77 : 2,884.46 = 1,886.76 : x
  2. Step 2: Convert to fraction form
    1,912.77/2,884.46 = 1,886.76/x
  3. Step 3: Cross multiply
    1,912.77x = 2,884.46 × 1,886.76
  4. Step 4: Simplify right side
    1,912.77x = 5,442,274.32
  5. Step 5: Solve for x
    x = 5,442,274.32/1,912.77
  6. Step 6: Final answer
    x = 2,845.23

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.