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Finding the Fourth Proportional to 3,004.53, 4,506.12 and 1,154.97

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Solution

The fourth proportional to 3,004.53, 4,506.12 and 1,154.97 is: 1,732.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,004.53 : 4,506.12 = 1,154.97 : x
  2. Step 2: Convert to fraction form
    3,004.53/4,506.12 = 1,154.97/x
  3. Step 3: Cross multiply
    3,004.53x = 4,506.12 × 1,154.97
  4. Step 4: Simplify right side
    3,004.53x = 5,204,433.42
  5. Step 5: Solve for x
    x = 5,204,433.42/3,004.53
  6. Step 6: Final answer
    x = 1,732.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.