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Finding the Fourth Proportional to 3,161.24, 4,742.02 and 852.76

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Solution

The fourth proportional to 3,161.24, 4,742.02 and 852.76 is: 1,279.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,161.24 : 4,742.02 = 852.76 : x
  2. Step 2: Convert to fraction form
    3,161.24/4,742.02 = 852.76/x
  3. Step 3: Cross multiply
    3,161.24x = 4,742.02 × 852.76
  4. Step 4: Simplify right side
    3,161.24x = 4,043,804.98
  5. Step 5: Solve for x
    x = 4,043,804.98/3,161.24
  6. Step 6: Final answer
    x = 1,279.18

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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.