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Finding the Fourth Proportional to 2,274.92, 3,410.87 and 888.38

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Solution

The fourth proportional to 2,274.92, 3,410.87 and 888.38 is: 1,331.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,274.92 : 3,410.87 = 888.38 : x
  2. Step 2: Convert to fraction form
    2,274.92/3,410.87 = 888.38/x
  3. Step 3: Cross multiply
    2,274.92x = 3,410.87 × 888.38
  4. Step 4: Simplify right side
    2,274.92x = 3,030,152.78
  5. Step 5: Solve for x
    x = 3,030,152.78/2,274.92
  6. Step 6: Final answer
    x = 1,331.99

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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.