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Finding the Fourth Proportional to 2,841.61, 4,263.42 and 1,086.74

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Solution

The fourth proportional to 2,841.61, 4,263.42 and 1,086.74 is: 1,630.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,841.61 : 4,263.42 = 1,086.74 : x
  2. Step 2: Convert to fraction form
    2,841.61/4,263.42 = 1,086.74/x
  3. Step 3: Cross multiply
    2,841.61x = 4,263.42 × 1,086.74
  4. Step 4: Simplify right side
    2,841.61x = 4,633,229.05
  5. Step 5: Solve for x
    x = 4,633,229.05/2,841.61
  6. Step 6: Final answer
    x = 1,630.49

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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.