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Finding the Fourth Proportional to 3,254.06, 4,883.02 and 1,611.50

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Solution

The fourth proportional to 3,254.06, 4,883.02 and 1,611.50 is: 2,418.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,254.06 : 4,883.02 = 1,611.50 : x
  2. Step 2: Convert to fraction form
    3,254.06/4,883.02 = 1,611.50/x
  3. Step 3: Cross multiply
    3,254.06x = 4,883.02 × 1,611.50
  4. Step 4: Simplify right side
    3,254.06x = 7,868,986.73
  5. Step 5: Solve for x
    x = 7,868,986.73/3,254.06
  6. Step 6: Final answer
    x = 2,418.21

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Why These Related Problems?

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