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Finding the Fourth Proportional to 3,165.28, 4,747.61 and 974.03

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Solution

The fourth proportional to 3,165.28, 4,747.61 and 974.03 is: 1,460.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,165.28 : 4,747.61 = 974.03 : x
  2. Step 2: Convert to fraction form
    3,165.28/4,747.61 = 974.03/x
  3. Step 3: Cross multiply
    3,165.28x = 4,747.61 × 974.03
  4. Step 4: Simplify right side
    3,165.28x = 4,624,293.27
  5. Step 5: Solve for x
    x = 4,624,293.27/3,165.28
  6. Step 6: Final answer
    x = 1,460.94

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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.