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Finding the Fourth Proportional to 3,202.63, 4,419.65 and 1,786.41

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Solution

The fourth proportional to 3,202.63, 4,419.65 and 1,786.41 is: 2,465.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,202.63 : 4,419.65 = 1,786.41 : x
  2. Step 2: Convert to fraction form
    3,202.63/4,419.65 = 1,786.41/x
  3. Step 3: Cross multiply
    3,202.63x = 4,419.65 × 1,786.41
  4. Step 4: Simplify right side
    3,202.63x = 7,895,284.86
  5. Step 5: Solve for x
    x = 7,895,284.86/3,202.63
  6. Step 6: Final answer
    x = 2,465.25

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