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Finding the Fourth Proportional to 2,502.33, 3,749.34 and 1,330.68

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Solution

The fourth proportional to 2,502.33, 3,749.34 and 1,330.68 is: 1,993.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,502.33 : 3,749.34 = 1,330.68 : x
  2. Step 2: Convert to fraction form
    2,502.33/3,749.34 = 1,330.68/x
  3. Step 3: Cross multiply
    2,502.33x = 3,749.34 × 1,330.68
  4. Step 4: Simplify right side
    2,502.33x = 4,989,171.75
  5. Step 5: Solve for x
    x = 4,989,171.75/2,502.33
  6. Step 6: Final answer
    x = 1,993.81

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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.