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Finding the Fourth Proportional to 2,018.45, 3,027.86 and 752.33

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Solution

The fourth proportional to 2,018.45, 3,027.86 and 752.33 is: 1,128.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,018.45 : 3,027.86 = 752.33 : x
  2. Step 2: Convert to fraction form
    2,018.45/3,027.86 = 752.33/x
  3. Step 3: Cross multiply
    2,018.45x = 3,027.86 × 752.33
  4. Step 4: Simplify right side
    2,018.45x = 2,277,931.01
  5. Step 5: Solve for x
    x = 2,277,931.01/2,018.45
  6. Step 6: Final answer
    x = 1,128.56

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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.