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Finding the Fourth Proportional to 3,086.91, 4,630.36 and 778.41

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Solution

The fourth proportional to 3,086.91, 4,630.36 and 778.41 is: 1,167.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,086.91 : 4,630.36 = 778.41 : x
  2. Step 2: Convert to fraction form
    3,086.91/4,630.36 = 778.41/x
  3. Step 3: Cross multiply
    3,086.91x = 4,630.36 × 778.41
  4. Step 4: Simplify right side
    3,086.91x = 3,604,316.58
  5. Step 5: Solve for x
    x = 3,604,316.58/3,086.91
  6. Step 6: Final answer
    x = 1,167.61

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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.