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Finding the Fourth Proportional to 1,423.64, 2,135.46 and 449.82

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Solution

The fourth proportional to 1,423.64, 2,135.46 and 449.82 is: 674.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,423.64 : 2,135.46 = 449.82 : x
  2. Step 2: Convert to fraction form
    1,423.64/2,135.46 = 449.82/x
  3. Step 3: Cross multiply
    1,423.64x = 2,135.46 × 449.82
  4. Step 4: Simplify right side
    1,423.64x = 960,572.62
  5. Step 5: Solve for x
    x = 960,572.62/1,423.64
  6. Step 6: Final answer
    x = 674.73

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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.