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Finding the Fourth Proportional to 2,956.54, 4,076.94 and 2,209.34

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Solution

The fourth proportional to 2,956.54, 4,076.94 and 2,209.34 is: 3,046.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,956.54 : 4,076.94 = 2,209.34 : x
  2. Step 2: Convert to fraction form
    2,956.54/4,076.94 = 2,209.34/x
  3. Step 3: Cross multiply
    2,956.54x = 4,076.94 × 2,209.34
  4. Step 4: Simplify right side
    2,956.54x = 9,007,346.62
  5. Step 5: Solve for x
    x = 9,007,346.62/2,956.54
  6. Step 6: Final answer
    x = 3,046.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.