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Finding the Fourth Proportional to 2,657, 3,986.14 and 833

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Solution

The fourth proportional to 2,657, 3,986.14 and 833 is: 1,249.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,657 : 3,986.14 = 833 : x
  2. Step 2: Convert to fraction form
    2,657/3,986.14 = 833/x
  3. Step 3: Cross multiply
    2,657x = 3,986.14 × 833
  4. Step 4: Simplify right side
    2,657x = 3,320,454.62
  5. Step 5: Solve for x
    x = 3,320,454.62/2,657
  6. Step 6: Final answer
    x = 1,249.70

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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.