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Finding the Fourth Proportional to 2,262.66, 3,394.08 and 963.24

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Solution

The fourth proportional to 2,262.66, 3,394.08 and 963.24 is: 1,444.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,262.66 : 3,394.08 = 963.24 : x
  2. Step 2: Convert to fraction form
    2,262.66/3,394.08 = 963.24/x
  3. Step 3: Cross multiply
    2,262.66x = 3,394.08 × 963.24
  4. Step 4: Simplify right side
    2,262.66x = 3,269,313.62
  5. Step 5: Solve for x
    x = 3,269,313.62/2,262.66
  6. Step 6: Final answer
    x = 1,444.90

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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.