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Finding the Fourth Proportional to 2,046.36, 3,069.54 and 892.92

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Solution

The fourth proportional to 2,046.36, 3,069.54 and 892.92 is: 1,339.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,046.36 : 3,069.54 = 892.92 : x
  2. Step 2: Convert to fraction form
    2,046.36/3,069.54 = 892.92/x
  3. Step 3: Cross multiply
    2,046.36x = 3,069.54 × 892.92
  4. Step 4: Simplify right side
    2,046.36x = 2,740,853.66
  5. Step 5: Solve for x
    x = 2,740,853.66/2,046.36
  6. Step 6: Final answer
    x = 1,339.38

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Similar ratio
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1.5x scale

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.