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Finding the Fourth Proportional to 2,446.46, 3,660.50 and 1,455.63

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Solution

The fourth proportional to 2,446.46, 3,660.50 and 1,455.63 is: 2,177.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,446.46 : 3,660.50 = 1,455.63 : x
  2. Step 2: Convert to fraction form
    2,446.46/3,660.50 = 1,455.63/x
  3. Step 3: Cross multiply
    2,446.46x = 3,660.50 × 1,455.63
  4. Step 4: Simplify right side
    2,446.46x = 5,328,308.03
  5. Step 5: Solve for x
    x = 5,328,308.03/2,446.46
  6. Step 6: Final answer
    x = 2,177.97

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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.