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Finding the Fourth Proportional to 3,431.52, 4,735.56 and 2,014.44

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Solution

The fourth proportional to 3,431.52, 4,735.56 and 2,014.44 is: 2,779.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,431.52 : 4,735.56 = 2,014.44 : x
  2. Step 2: Convert to fraction form
    3,431.52/4,735.56 = 2,014.44/x
  3. Step 3: Cross multiply
    3,431.52x = 4,735.56 × 2,014.44
  4. Step 4: Simplify right side
    3,431.52x = 9,539,501.49
  5. Step 5: Solve for x
    x = 9,539,501.49/3,431.52
  6. Step 6: Final answer
    x = 2,779.96

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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.