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Finding the Fourth Proportional to 4,969.99, 7,454.52 and 1,682.70

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Solution

The fourth proportional to 4,969.99, 7,454.52 and 1,682.70 is: 2,523.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,969.99 : 7,454.52 = 1,682.70 : x
  2. Step 2: Convert to fraction form
    4,969.99/7,454.52 = 1,682.70/x
  3. Step 3: Cross multiply
    4,969.99x = 7,454.52 × 1,682.70
  4. Step 4: Simplify right side
    4,969.99x = 12,543,720.80
  5. Step 5: Solve for x
    x = 12,543,720.80/4,969.99
  6. Step 6: Final answer
    x = 2,523.89

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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.