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Finding the Fourth Proportional to 3,029.97, 4,543.50 and 1,797.54

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Solution

The fourth proportional to 3,029.97, 4,543.50 and 1,797.54 is: 2,695.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,029.97 : 4,543.50 = 1,797.54 : x
  2. Step 2: Convert to fraction form
    3,029.97/4,543.50 = 1,797.54/x
  3. Step 3: Cross multiply
    3,029.97x = 4,543.50 × 1,797.54
  4. Step 4: Simplify right side
    3,029.97x = 8,167,122.99
  5. Step 5: Solve for x
    x = 8,167,122.99/3,029.97
  6. Step 6: Final answer
    x = 2,695.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.