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Finding the Fourth Proportional to 3,202.04, 4,418.72 and 1,785.72

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Solution

The fourth proportional to 3,202.04, 4,418.72 and 1,785.72 is: 2,464.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,202.04 : 4,418.72 = 1,785.72 : x
  2. Step 2: Convert to fraction form
    3,202.04/4,418.72 = 1,785.72/x
  3. Step 3: Cross multiply
    3,202.04x = 4,418.72 × 1,785.72
  4. Step 4: Simplify right side
    3,202.04x = 7,890,596.68
  5. Step 5: Solve for x
    x = 7,890,596.68/3,202.04
  6. Step 6: Final answer
    x = 2,464.24

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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.