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Finding the Fourth Proportional to 1,517.76, 2,276.37 and 421.86

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Solution

The fourth proportional to 1,517.76, 2,276.37 and 421.86 is: 632.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,517.76 : 2,276.37 = 421.86 : x
  2. Step 2: Convert to fraction form
    1,517.76/2,276.37 = 421.86/x
  3. Step 3: Cross multiply
    1,517.76x = 2,276.37 × 421.86
  4. Step 4: Simplify right side
    1,517.76x = 960,309.45
  5. Step 5: Solve for x
    x = 960,309.45/1,517.76
  6. Step 6: Final answer
    x = 632.71

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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.