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Finding the Fourth Proportional to 2,886.96, 4,331.08 and 939.12

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Solution

The fourth proportional to 2,886.96, 4,331.08 and 939.12 is: 1,408.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,886.96 : 4,331.08 = 939.12 : x
  2. Step 2: Convert to fraction form
    2,886.96/4,331.08 = 939.12/x
  3. Step 3: Cross multiply
    2,886.96x = 4,331.08 × 939.12
  4. Step 4: Simplify right side
    2,886.96x = 4,067,403.85
  5. Step 5: Solve for x
    x = 4,067,403.85/2,886.96
  6. Step 6: Final answer
    x = 1,408.89

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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.