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Finding the Fourth Proportional to 2,853.86, 3,938.28 and 2,013.68

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Solution

The fourth proportional to 2,853.86, 3,938.28 and 2,013.68 is: 2,778.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,853.86 : 3,938.28 = 2,013.68 : x
  2. Step 2: Convert to fraction form
    2,853.86/3,938.28 = 2,013.68/x
  3. Step 3: Cross multiply
    2,853.86x = 3,938.28 × 2,013.68
  4. Step 4: Simplify right side
    2,853.86x = 7,930,435.67
  5. Step 5: Solve for x
    x = 7,930,435.67/2,853.86
  6. Step 6: Final answer
    x = 2,778.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.