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Finding the Fourth Proportional to 2,788.02, 4,181.67 and 939.11

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Solution

The fourth proportional to 2,788.02, 4,181.67 and 939.11 is: 1,408.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,788.02 : 4,181.67 = 939.11 : x
  2. Step 2: Convert to fraction form
    2,788.02/4,181.67 = 939.11/x
  3. Step 3: Cross multiply
    2,788.02x = 4,181.67 × 939.11
  4. Step 4: Simplify right side
    2,788.02x = 3,927,027.21
  5. Step 5: Solve for x
    x = 3,927,027.21/2,788.02
  6. Step 6: Final answer
    x = 1,408.54

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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.