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Finding the Fourth Proportional to 1,634.40, 2,447.04 and 852.70

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Solution

The fourth proportional to 1,634.40, 2,447.04 and 852.70 is: 1,276.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,634.40 : 2,447.04 = 852.70 : x
  2. Step 2: Convert to fraction form
    1,634.40/2,447.04 = 852.70/x
  3. Step 3: Cross multiply
    1,634.40x = 2,447.04 × 852.70
  4. Step 4: Simplify right side
    1,634.40x = 2,086,591.01
  5. Step 5: Solve for x
    x = 2,086,591.01/1,634.40
  6. Step 6: Final answer
    x = 1,276.67

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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.