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Finding the Fourth Proportional to 2,645.32, 3,966.96 and 796

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Solution

The fourth proportional to 2,645.32, 3,966.96 and 796 is: 1,193.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,645.32 : 3,966.96 = 796 : x
  2. Step 2: Convert to fraction form
    2,645.32/3,966.96 = 796/x
  3. Step 3: Cross multiply
    2,645.32x = 3,966.96 × 796
  4. Step 4: Simplify right side
    2,645.32x = 3,157,700.16
  5. Step 5: Solve for x
    x = 3,157,700.16/2,645.32
  6. Step 6: Final answer
    x = 1,193.69

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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.