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Finding the Fourth Proportional to 3,202.74, 4,419.54 and 1,786.32

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Solution

The fourth proportional to 3,202.74, 4,419.54 and 1,786.32 is: 2,464.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,202.74 : 4,419.54 = 1,786.32 : x
  2. Step 2: Convert to fraction form
    3,202.74/4,419.54 = 1,786.32/x
  3. Step 3: Cross multiply
    3,202.74x = 4,419.54 × 1,786.32
  4. Step 4: Simplify right side
    3,202.74x = 7,894,712.69
  5. Step 5: Solve for x
    x = 7,894,712.69/3,202.74
  6. Step 6: Final answer
    x = 2,464.99

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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.