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Finding the Fourth Proportional to 1,640.14, 2,458.77 and 762.31

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Solution

The fourth proportional to 1,640.14, 2,458.77 and 762.31 is: 1,142.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,640.14 : 2,458.77 = 762.31 : x
  2. Step 2: Convert to fraction form
    1,640.14/2,458.77 = 762.31/x
  3. Step 3: Cross multiply
    1,640.14x = 2,458.77 × 762.31
  4. Step 4: Simplify right side
    1,640.14x = 1,874,344.96
  5. Step 5: Solve for x
    x = 1,874,344.96/1,640.14
  6. Step 6: Final answer
    x = 1,142.80

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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.