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Finding the Fourth Proportional to 3,055.42, 4,582.63 and 863.61

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Solution

The fourth proportional to 3,055.42, 4,582.63 and 863.61 is: 1,295.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,055.42 : 4,582.63 = 863.61 : x
  2. Step 2: Convert to fraction form
    3,055.42/4,582.63 = 863.61/x
  3. Step 3: Cross multiply
    3,055.42x = 4,582.63 × 863.61
  4. Step 4: Simplify right side
    3,055.42x = 3,957,609.91
  5. Step 5: Solve for x
    x = 3,957,609.91/3,055.42
  6. Step 6: Final answer
    x = 1,295.27

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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.