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Finding the Fourth Proportional to 3,173.45, 4,754.09 and 1,782.57

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Solution

The fourth proportional to 3,173.45, 4,754.09 and 1,782.57 is: 2,670.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,173.45 : 4,754.09 = 1,782.57 : x
  2. Step 2: Convert to fraction form
    3,173.45/4,754.09 = 1,782.57/x
  3. Step 3: Cross multiply
    3,173.45x = 4,754.09 × 1,782.57
  4. Step 4: Simplify right side
    3,173.45x = 8,474,520.50
  5. Step 5: Solve for x
    x = 8,474,520.50/3,173.45
  6. Step 6: Final answer
    x = 2,670.45

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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.