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Finding the Fourth Proportional to 1,636.40, 2,450.04 and 854.70

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Solution

The fourth proportional to 1,636.40, 2,450.04 and 854.70 is: 1,279.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,636.40 : 2,450.04 = 854.70 : x
  2. Step 2: Convert to fraction form
    1,636.40/2,450.04 = 854.70/x
  3. Step 3: Cross multiply
    1,636.40x = 2,450.04 × 854.70
  4. Step 4: Simplify right side
    1,636.40x = 2,094,049.19
  5. Step 5: Solve for x
    x = 2,094,049.19/1,636.40
  6. Step 6: Final answer
    x = 1,279.67

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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.