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Finding the Fourth Proportional to 3,064.74, 4,229.28 and 1,738.41

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Solution

The fourth proportional to 3,064.74, 4,229.28 and 1,738.41 is: 2,398.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,064.74 : 4,229.28 = 1,738.41 : x
  2. Step 2: Convert to fraction form
    3,064.74/4,229.28 = 1,738.41/x
  3. Step 3: Cross multiply
    3,064.74x = 4,229.28 × 1,738.41
  4. Step 4: Simplify right side
    3,064.74x = 7,352,222.64
  5. Step 5: Solve for x
    x = 7,352,222.64/3,064.74
  6. Step 6: Final answer
    x = 2,398.97

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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.