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Finding the Fourth Proportional to 2,635.14, 3,952.67 and 786.26

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Solution

The fourth proportional to 2,635.14, 3,952.67 and 786.26 is: 1,179.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,635.14 : 3,952.67 = 786.26 : x
  2. Step 2: Convert to fraction form
    2,635.14/3,952.67 = 786.26/x
  3. Step 3: Cross multiply
    2,635.14x = 3,952.67 × 786.26
  4. Step 4: Simplify right side
    2,635.14x = 3,107,832.26
  5. Step 5: Solve for x
    x = 3,107,832.26/2,635.14
  6. Step 6: Final answer
    x = 1,179.38

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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.