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Finding the Fourth Proportional to 2,029.16, 3,043.69 and 548.38

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Solution

The fourth proportional to 2,029.16, 3,043.69 and 548.38 is: 822.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,029.16 : 3,043.69 = 548.38 : x
  2. Step 2: Convert to fraction form
    2,029.16/3,043.69 = 548.38/x
  3. Step 3: Cross multiply
    2,029.16x = 3,043.69 × 548.38
  4. Step 4: Simplify right side
    2,029.16x = 1,669,101.16
  5. Step 5: Solve for x
    x = 1,669,101.16/2,029.16
  6. Step 6: Final answer
    x = 822.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.