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Finding the Fourth Proportional to 2,644.16, 3,966.82 and 795.44

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Solution

The fourth proportional to 2,644.16, 3,966.82 and 795.44 is: 1,193.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,644.16 : 3,966.82 = 795.44 : x
  2. Step 2: Convert to fraction form
    2,644.16/3,966.82 = 795.44/x
  3. Step 3: Cross multiply
    2,644.16x = 3,966.82 × 795.44
  4. Step 4: Simplify right side
    2,644.16x = 3,155,367.30
  5. Step 5: Solve for x
    x = 3,155,367.30/2,644.16
  6. Step 6: Final answer
    x = 1,193.33

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1.5x scale

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.