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Finding the Fourth Proportional to 2,261.68, 3,394.32 and 964.04

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Solution

The fourth proportional to 2,261.68, 3,394.32 and 964.04 is: 1,446.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,261.68 : 3,394.32 = 964.04 : x
  2. Step 2: Convert to fraction form
    2,261.68/3,394.32 = 964.04/x
  3. Step 3: Cross multiply
    2,261.68x = 3,394.32 × 964.04
  4. Step 4: Simplify right side
    2,261.68x = 3,272,260.25
  5. Step 5: Solve for x
    x = 3,272,260.25/2,261.68
  6. Step 6: Final answer
    x = 1,446.83

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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.