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Finding the Fourth Proportional to 2,355.96, 3,534.77 and 796.14

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Solution

The fourth proportional to 2,355.96, 3,534.77 and 796.14 is: 1,194.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,355.96 : 3,534.77 = 796.14 : x
  2. Step 2: Convert to fraction form
    2,355.96/3,534.77 = 796.14/x
  3. Step 3: Cross multiply
    2,355.96x = 3,534.77 × 796.14
  4. Step 4: Simplify right side
    2,355.96x = 2,814,171.79
  5. Step 5: Solve for x
    x = 2,814,171.79/2,355.96
  6. Step 6: Final answer
    x = 1,194.49

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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.