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Finding the Fourth Proportional to 3,161.04, 4,741.02 and 852

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Solution

The fourth proportional to 3,161.04, 4,741.02 and 852 is: 1,277.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,161.04 : 4,741.02 = 852 : x
  2. Step 2: Convert to fraction form
    3,161.04/4,741.02 = 852/x
  3. Step 3: Cross multiply
    3,161.04x = 4,741.02 × 852
  4. Step 4: Simplify right side
    3,161.04x = 4,039,349.04
  5. Step 5: Solve for x
    x = 4,039,349.04/3,161.04
  6. Step 6: Final answer
    x = 1,277.85

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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.