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Finding the Fourth Proportional to 3,092.14, 4,267.14 and 1,694.89

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Solution

The fourth proportional to 3,092.14, 4,267.14 and 1,694.89 is: 2,338.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,092.14 : 4,267.14 = 1,694.89 : x
  2. Step 2: Convert to fraction form
    3,092.14/4,267.14 = 1,694.89/x
  3. Step 3: Cross multiply
    3,092.14x = 4,267.14 × 1,694.89
  4. Step 4: Simplify right side
    3,092.14x = 7,232,332.91
  5. Step 5: Solve for x
    x = 7,232,332.91/3,092.14
  6. Step 6: Final answer
    x = 2,338.94

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.