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Finding the Fourth Proportional to 3,072.83, 4,611.07 and 1,612.40

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Solution

The fourth proportional to 3,072.83, 4,611.07 and 1,612.40 is: 2,419.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,072.83 : 4,611.07 = 1,612.40 : x
  2. Step 2: Convert to fraction form
    3,072.83/4,611.07 = 1,612.40/x
  3. Step 3: Cross multiply
    3,072.83x = 4,611.07 × 1,612.40
  4. Step 4: Simplify right side
    3,072.83x = 7,434,889.27
  5. Step 5: Solve for x
    x = 7,434,889.27/3,072.83
  6. Step 6: Final answer
    x = 2,419.56

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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.