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Finding the Fourth Proportional to 1,604.17, 2,406.26 and 449.92

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Solution

The fourth proportional to 1,604.17, 2,406.26 and 449.92 is: 674.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,604.17 : 2,406.26 = 449.92 : x
  2. Step 2: Convert to fraction form
    1,604.17/2,406.26 = 449.92/x
  3. Step 3: Cross multiply
    1,604.17x = 2,406.26 × 449.92
  4. Step 4: Simplify right side
    1,604.17x = 1,082,624.50
  5. Step 5: Solve for x
    x = 1,082,624.50/1,604.17
  6. Step 6: Final answer
    x = 674.88

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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.