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Finding the Fourth Proportional to 2,474.48, 3,414.22 and 1,479.60

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Solution

The fourth proportional to 2,474.48, 3,414.22 and 1,479.60 is: 2,041.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,474.48 : 3,414.22 = 1,479.60 : x
  2. Step 2: Convert to fraction form
    2,474.48/3,414.22 = 1,479.60/x
  3. Step 3: Cross multiply
    2,474.48x = 3,414.22 × 1,479.60
  4. Step 4: Simplify right side
    2,474.48x = 5,051,679.91
  5. Step 5: Solve for x
    x = 5,051,679.91/2,474.48
  6. Step 6: Final answer
    x = 2,041.51

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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.