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Finding the Fourth Proportional to 3,115.04, 4,296.96 and 1,978.61

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Solution

The fourth proportional to 3,115.04, 4,296.96 and 1,978.61 is: 2,729.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,115.04 : 4,296.96 = 1,978.61 : x
  2. Step 2: Convert to fraction form
    3,115.04/4,296.96 = 1,978.61/x
  3. Step 3: Cross multiply
    3,115.04x = 4,296.96 × 1,978.61
  4. Step 4: Simplify right side
    3,115.04x = 8,501,986.54
  5. Step 5: Solve for x
    x = 8,501,986.54/3,115.04
  6. Step 6: Final answer
    x = 2,729.34

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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.