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Finding the Fourth Proportional to 2,395.43, 3,305.74 and 1,451.37

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Solution

The fourth proportional to 2,395.43, 3,305.74 and 1,451.37 is: 2,002.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,395.43 : 3,305.74 = 1,451.37 : x
  2. Step 2: Convert to fraction form
    2,395.43/3,305.74 = 1,451.37/x
  3. Step 3: Cross multiply
    2,395.43x = 3,305.74 × 1,451.37
  4. Step 4: Simplify right side
    2,395.43x = 4,797,851.86
  5. Step 5: Solve for x
    x = 4,797,851.86/2,395.43
  6. Step 6: Final answer
    x = 2,002.92

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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.