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Finding the Fourth Proportional to 2,594.35, 3,892.20 and 1,361.43

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Solution

The fourth proportional to 2,594.35, 3,892.20 and 1,361.43 is: 2,042.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,594.35 : 3,892.20 = 1,361.43 : x
  2. Step 2: Convert to fraction form
    2,594.35/3,892.20 = 1,361.43/x
  3. Step 3: Cross multiply
    2,594.35x = 3,892.20 × 1,361.43
  4. Step 4: Simplify right side
    2,594.35x = 5,298,957.85
  5. Step 5: Solve for x
    x = 5,298,957.85/2,594.35
  6. Step 6: Final answer
    x = 2,042.50

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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.