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Finding the Fourth Proportional to 2,497, 3,446.49 and 1,449.67

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Solution

The fourth proportional to 2,497, 3,446.49 and 1,449.67 is: 2,000.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,497 : 3,446.49 = 1,449.67 : x
  2. Step 2: Convert to fraction form
    2,497/3,446.49 = 1,449.67/x
  3. Step 3: Cross multiply
    2,497x = 3,446.49 × 1,449.67
  4. Step 4: Simplify right side
    2,497x = 4,996,273.16
  5. Step 5: Solve for x
    x = 4,996,273.16/2,497
  6. Step 6: Final answer
    x = 2,000.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.