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Finding the Fourth Proportional to 2,788.14, 4,182.66 and 939.42

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Solution

The fourth proportional to 2,788.14, 4,182.66 and 939.42 is: 1,409.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,788.14 : 4,182.66 = 939.42 : x
  2. Step 2: Convert to fraction form
    2,788.14/4,182.66 = 939.42/x
  3. Step 3: Cross multiply
    2,788.14x = 4,182.66 × 939.42
  4. Step 4: Simplify right side
    2,788.14x = 3,929,274.46
  5. Step 5: Solve for x
    x = 3,929,274.46/2,788.14
  6. Step 6: Final answer
    x = 1,409.28

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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.