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Finding the Fourth Proportional to 1,310.96, 1,962.12 and 1,166.96

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Solution

The fourth proportional to 1,310.96, 1,962.12 and 1,166.96 is: 1,746.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,310.96 : 1,962.12 = 1,166.96 : x
  2. Step 2: Convert to fraction form
    1,310.96/1,962.12 = 1,166.96/x
  3. Step 3: Cross multiply
    1,310.96x = 1,962.12 × 1,166.96
  4. Step 4: Simplify right side
    1,310.96x = 2,289,715.56
  5. Step 5: Solve for x
    x = 2,289,715.56/1,310.96
  6. Step 6: Final answer
    x = 1,746.59

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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.