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Finding the Fourth Proportional to 3,261.72, 4,893.10 and 1,618.32

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Solution

The fourth proportional to 3,261.72, 4,893.10 and 1,618.32 is: 2,427.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,261.72 : 4,893.10 = 1,618.32 : x
  2. Step 2: Convert to fraction form
    3,261.72/4,893.10 = 1,618.32/x
  3. Step 3: Cross multiply
    3,261.72x = 4,893.10 × 1,618.32
  4. Step 4: Simplify right side
    3,261.72x = 7,918,601.59
  5. Step 5: Solve for x
    x = 7,918,601.59/3,261.72
  6. Step 6: Final answer
    x = 2,427.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.