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Finding the Fourth Proportional to 3,461.80, 5,189.08 and 1,611.39

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Solution

The fourth proportional to 3,461.80, 5,189.08 and 1,611.39 is: 2,415.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,461.80 : 5,189.08 = 1,611.39 : x
  2. Step 2: Convert to fraction form
    3,461.80/5,189.08 = 1,611.39/x
  3. Step 3: Cross multiply
    3,461.80x = 5,189.08 × 1,611.39
  4. Step 4: Simplify right side
    3,461.80x = 8,361,643.28
  5. Step 5: Solve for x
    x = 8,361,643.28/3,461.80
  6. Step 6: Final answer
    x = 2,415.40

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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.