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Finding the Fourth Proportional to 2,978.08, 4,105.48 and 2,091.20

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Solution

The fourth proportional to 2,978.08, 4,105.48 and 2,091.20 is: 2,882.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,978.08 : 4,105.48 = 2,091.20 : x
  2. Step 2: Convert to fraction form
    2,978.08/4,105.48 = 2,091.20/x
  3. Step 3: Cross multiply
    2,978.08x = 4,105.48 × 2,091.20
  4. Step 4: Simplify right side
    2,978.08x = 8,585,379.78
  5. Step 5: Solve for x
    x = 8,585,379.78/2,978.08
  6. Step 6: Final answer
    x = 2,882.86

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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.