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Finding the Fourth Proportional to 3,054.92, 4,582.37 and 863.36

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Solution

The fourth proportional to 3,054.92, 4,582.37 and 863.36 is: 1,295.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,054.92 : 4,582.37 = 863.36 : x
  2. Step 2: Convert to fraction form
    3,054.92/4,582.37 = 863.36/x
  3. Step 3: Cross multiply
    3,054.92x = 4,582.37 × 863.36
  4. Step 4: Simplify right side
    3,054.92x = 3,956,231.39
  5. Step 5: Solve for x
    x = 3,956,231.39/3,054.92
  6. Step 6: Final answer
    x = 1,295.04

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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.