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Finding the Fourth Proportional to 2,480.38, 3,720.60 and 749.08

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Solution

The fourth proportional to 2,480.38, 3,720.60 and 749.08 is: 1,123.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,480.38 : 3,720.60 = 749.08 : x
  2. Step 2: Convert to fraction form
    2,480.38/3,720.60 = 749.08/x
  3. Step 3: Cross multiply
    2,480.38x = 3,720.60 × 749.08
  4. Step 4: Simplify right side
    2,480.38x = 2,787,027.05
  5. Step 5: Solve for x
    x = 2,787,027.05/2,480.38
  6. Step 6: Final answer
    x = 1,123.63

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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.