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Finding the Fourth Proportional to 3,044.89, 4,202.84 and 1,786.22

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Solution

The fourth proportional to 3,044.89, 4,202.84 and 1,786.22 is: 2,465.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,044.89 : 4,202.84 = 1,786.22 : x
  2. Step 2: Convert to fraction form
    3,044.89/4,202.84 = 1,786.22/x
  3. Step 3: Cross multiply
    3,044.89x = 4,202.84 × 1,786.22
  4. Step 4: Simplify right side
    3,044.89x = 7,507,180.32
  5. Step 5: Solve for x
    x = 7,507,180.32/3,044.89
  6. Step 6: Final answer
    x = 2,465.50

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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.