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Finding the Fourth Proportional to 2,788.67, 4,180.06 and 939.14

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Solution

The fourth proportional to 2,788.67, 4,180.06 and 939.14 is: 1,407.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,788.67 : 4,180.06 = 939.14 : x
  2. Step 2: Convert to fraction form
    2,788.67/4,180.06 = 939.14/x
  3. Step 3: Cross multiply
    2,788.67x = 4,180.06 × 939.14
  4. Step 4: Simplify right side
    2,788.67x = 3,925,638.30
  5. Step 5: Solve for x
    x = 3,925,638.30/2,788.67
  6. Step 6: Final answer
    x = 1,407.71

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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.