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Finding the Fourth Proportional to 2,309.94, 3,179.72 and 1,749.42

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Solution

The fourth proportional to 2,309.94, 3,179.72 and 1,749.42 is: 2,408.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,309.94 : 3,179.72 = 1,749.42 : x
  2. Step 2: Convert to fraction form
    2,309.94/3,179.72 = 1,749.42/x
  3. Step 3: Cross multiply
    2,309.94x = 3,179.72 × 1,749.42
  4. Step 4: Simplify right side
    2,309.94x = 5,562,670.14
  5. Step 5: Solve for x
    x = 5,562,670.14/2,309.94
  6. Step 6: Final answer
    x = 2,408.14

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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.