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Finding the Fourth Proportional to 2,274.73, 3,410.58 and 888.20

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Solution

The fourth proportional to 2,274.73, 3,410.58 and 888.20 is: 1,331.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,274.73 : 3,410.58 = 888.20 : x
  2. Step 2: Convert to fraction form
    2,274.73/3,410.58 = 888.20/x
  3. Step 3: Cross multiply
    2,274.73x = 3,410.58 × 888.20
  4. Step 4: Simplify right side
    2,274.73x = 3,029,260.10
  5. Step 5: Solve for x
    x = 3,029,260.10/2,274.73
  6. Step 6: Final answer
    x = 1,331.70

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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.