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Finding the Fourth Proportional to 2,304.92, 3,459.24 and 1,209.94

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Solution

The fourth proportional to 2,304.92, 3,459.24 and 1,209.94 is: 1,815.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,304.92 : 3,459.24 = 1,209.94 : x
  2. Step 2: Convert to fraction form
    2,304.92/3,459.24 = 1,209.94/x
  3. Step 3: Cross multiply
    2,304.92x = 3,459.24 × 1,209.94
  4. Step 4: Simplify right side
    2,304.92x = 4,185,464.20
  5. Step 5: Solve for x
    x = 4,185,464.20/2,304.92
  6. Step 6: Final answer
    x = 1,815.88

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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.