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Finding the Fourth Proportional to 2,583.78, 3,878.10 and 1,611.78

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Solution

The fourth proportional to 2,583.78, 3,878.10 and 1,611.78 is: 2,419.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,583.78 : 3,878.10 = 1,611.78 : x
  2. Step 2: Convert to fraction form
    2,583.78/3,878.10 = 1,611.78/x
  3. Step 3: Cross multiply
    2,583.78x = 3,878.10 × 1,611.78
  4. Step 4: Simplify right side
    2,583.78x = 6,250,644.02
  5. Step 5: Solve for x
    x = 6,250,644.02/2,583.78
  6. Step 6: Final answer
    x = 2,419.19

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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.