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Finding the Fourth Proportional to 2,264.46, 3,398.40 and 966.84

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Solution

The fourth proportional to 2,264.46, 3,398.40 and 966.84 is: 1,450.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,264.46 : 3,398.40 = 966.84 : x
  2. Step 2: Convert to fraction form
    2,264.46/3,398.40 = 966.84/x
  3. Step 3: Cross multiply
    2,264.46x = 3,398.40 × 966.84
  4. Step 4: Simplify right side
    2,264.46x = 3,285,709.06
  5. Step 5: Solve for x
    x = 3,285,709.06/2,264.46
  6. Step 6: Final answer
    x = 1,450.99

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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.