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Finding the Fourth Proportional to 3,040.34, 4,195.02 and 1,978.26

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Solution

The fourth proportional to 3,040.34, 4,195.02 and 1,978.26 is: 2,729.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,040.34 : 4,195.02 = 1,978.26 : x
  2. Step 2: Convert to fraction form
    3,040.34/4,195.02 = 1,978.26/x
  3. Step 3: Cross multiply
    3,040.34x = 4,195.02 × 1,978.26
  4. Step 4: Simplify right side
    3,040.34x = 8,298,840.27
  5. Step 5: Solve for x
    x = 8,298,840.27/3,040.34
  6. Step 6: Final answer
    x = 2,729.58

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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.