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Finding the Fourth Proportional to 3,144, 4,338.72 and 1,747.08

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Solution

The fourth proportional to 3,144, 4,338.72 and 1,747.08 is: 2,410.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,144 : 4,338.72 = 1,747.08 : x
  2. Step 2: Convert to fraction form
    3,144/4,338.72 = 1,747.08/x
  3. Step 3: Cross multiply
    3,144x = 4,338.72 × 1,747.08
  4. Step 4: Simplify right side
    3,144x = 7,580,090.94
  5. Step 5: Solve for x
    x = 7,580,090.94/3,144
  6. Step 6: Final answer
    x = 2,410.97

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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.