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Finding the Fourth Proportional to 2,732.40, 4,092.50 and 2,114.10

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Solution

The fourth proportional to 2,732.40, 4,092.50 and 2,114.10 is: 3,166.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,732.40 : 4,092.50 = 2,114.10 : x
  2. Step 2: Convert to fraction form
    2,732.40/4,092.50 = 2,114.10/x
  3. Step 3: Cross multiply
    2,732.40x = 4,092.50 × 2,114.10
  4. Step 4: Simplify right side
    2,732.40x = 8,651,954.25
  5. Step 5: Solve for x
    x = 8,651,954.25/2,732.40
  6. Step 6: Final answer
    x = 3,166.43

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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.