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Finding the Fourth Proportional to 2,508.55, 3,462.05 and 1,446.64

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Solution

The fourth proportional to 2,508.55, 3,462.05 and 1,446.64 is: 1,996.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,508.55 : 3,462.05 = 1,446.64 : x
  2. Step 2: Convert to fraction form
    2,508.55/3,462.05 = 1,446.64/x
  3. Step 3: Cross multiply
    2,508.55x = 3,462.05 × 1,446.64
  4. Step 4: Simplify right side
    2,508.55x = 5,008,334.97
  5. Step 5: Solve for x
    x = 5,008,334.97/2,508.55
  6. Step 6: Final answer
    x = 1,996.51

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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.