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Finding the Fourth Proportional to 2,446.46, 3,670.24 and 803.14

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Solution

The fourth proportional to 2,446.46, 3,670.24 and 803.14 is: 1,204.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,446.46 : 3,670.24 = 803.14 : x
  2. Step 2: Convert to fraction form
    2,446.46/3,670.24 = 803.14/x
  3. Step 3: Cross multiply
    2,446.46x = 3,670.24 × 803.14
  4. Step 4: Simplify right side
    2,446.46x = 2,947,716.55
  5. Step 5: Solve for x
    x = 2,947,716.55/2,446.46
  6. Step 6: Final answer
    x = 1,204.89

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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.