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Finding the Fourth Proportional to 3,005.04, 4,504.68 and 1,274.64

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Solution

The fourth proportional to 3,005.04, 4,504.68 and 1,274.64 is: 1,910.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,005.04 : 4,504.68 = 1,274.64 : x
  2. Step 2: Convert to fraction form
    3,005.04/4,504.68 = 1,274.64/x
  3. Step 3: Cross multiply
    3,005.04x = 4,504.68 × 1,274.64
  4. Step 4: Simplify right side
    3,005.04x = 5,741,845.32
  5. Step 5: Solve for x
    x = 5,741,845.32/3,005.04
  6. Step 6: Final answer
    x = 1,910.74

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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.