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Finding the Fourth Proportional to 2,274.77, 3,410.46 and 887.96

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Solution

The fourth proportional to 2,274.77, 3,410.46 and 887.96 is: 1,331.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,274.77 : 3,410.46 = 887.96 : x
  2. Step 2: Convert to fraction form
    2,274.77/3,410.46 = 887.96/x
  3. Step 3: Cross multiply
    2,274.77x = 3,410.46 × 887.96
  4. Step 4: Simplify right side
    2,274.77x = 3,028,335.01
  5. Step 5: Solve for x
    x = 3,028,335.01/2,274.77
  6. Step 6: Final answer
    x = 1,331.27

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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.