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Finding the Fourth Proportional to 2,309.06, 3,178.49 and 1,748.54

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Solution

The fourth proportional to 2,309.06, 3,178.49 and 1,748.54 is: 2,406.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,309.06 : 3,178.49 = 1,748.54 : x
  2. Step 2: Convert to fraction form
    2,309.06/3,178.49 = 1,748.54/x
  3. Step 3: Cross multiply
    2,309.06x = 3,178.49 × 1,748.54
  4. Step 4: Simplify right side
    2,309.06x = 5,557,716.90
  5. Step 5: Solve for x
    x = 5,557,716.90/2,309.06
  6. Step 6: Final answer
    x = 2,406.92

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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.