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Finding the Fourth Proportional to 3,202.86, 4,419.42 and 1,786.25

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Solution

The fourth proportional to 3,202.86, 4,419.42 and 1,786.25 is: 2,464.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,202.86 : 4,419.42 = 1,786.25 : x
  2. Step 2: Convert to fraction form
    3,202.86/4,419.42 = 1,786.25/x
  3. Step 3: Cross multiply
    3,202.86x = 4,419.42 × 1,786.25
  4. Step 4: Simplify right side
    3,202.86x = 7,894,166.88
  5. Step 5: Solve for x
    x = 7,894,166.88/3,202.86
  6. Step 6: Final answer
    x = 2,464.72

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.