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Finding the Fourth Proportional to 2,788.16, 4,182.14 and 939.23

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Solution

The fourth proportional to 2,788.16, 4,182.14 and 939.23 is: 1,408.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,788.16 : 4,182.14 = 939.23 : x
  2. Step 2: Convert to fraction form
    2,788.16/4,182.14 = 939.23/x
  3. Step 3: Cross multiply
    2,788.16x = 4,182.14 × 939.23
  4. Step 4: Simplify right side
    2,788.16x = 3,927,991.35
  5. Step 5: Solve for x
    x = 3,927,991.35/2,788.16
  6. Step 6: Final answer
    x = 1,408.81

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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.