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Finding the Fourth Proportional to 2,154.29, 3,226.90 and 985.28

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Solution

The fourth proportional to 2,154.29, 3,226.90 and 985.28 is: 1,475.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,154.29 : 3,226.90 = 985.28 : x
  2. Step 2: Convert to fraction form
    2,154.29/3,226.90 = 985.28/x
  3. Step 3: Cross multiply
    2,154.29x = 3,226.90 × 985.28
  4. Step 4: Simplify right side
    2,154.29x = 3,179,396.30
  5. Step 5: Solve for x
    x = 3,179,396.30/2,154.29
  6. Step 6: Final answer
    x = 1,475.84

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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.