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Finding the Fourth Proportional to 1,645.85, 2,469.50 and 865.67

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Solution

The fourth proportional to 1,645.85, 2,469.50 and 865.67 is: 1,298.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,645.85 : 2,469.50 = 865.67 : x
  2. Step 2: Convert to fraction form
    1,645.85/2,469.50 = 865.67/x
  3. Step 3: Cross multiply
    1,645.85x = 2,469.50 × 865.67
  4. Step 4: Simplify right side
    1,645.85x = 2,137,772.07
  5. Step 5: Solve for x
    x = 2,137,772.07/1,645.85
  6. Step 6: Final answer
    x = 1,298.89

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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.