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Finding the Fourth Proportional to 3,054.99, 4,215.24 and 1,729.02

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Solution

The fourth proportional to 3,054.99, 4,215.24 and 1,729.02 is: 2,385.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,054.99 : 4,215.24 = 1,729.02 : x
  2. Step 2: Convert to fraction form
    3,054.99/4,215.24 = 1,729.02/x
  3. Step 3: Cross multiply
    3,054.99x = 4,215.24 × 1,729.02
  4. Step 4: Simplify right side
    3,054.99x = 7,288,234.26
  5. Step 5: Solve for x
    x = 7,288,234.26/3,054.99
  6. Step 6: Final answer
    x = 2,385.68

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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.