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Finding the Fourth Proportional to 4,145.99, 6,220.80 and 1,682.57

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Solution

The fourth proportional to 4,145.99, 6,220.80 and 1,682.57 is: 2,524.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,145.99 : 6,220.80 = 1,682.57 : x
  2. Step 2: Convert to fraction form
    4,145.99/6,220.80 = 1,682.57/x
  3. Step 3: Cross multiply
    4,145.99x = 6,220.80 × 1,682.57
  4. Step 4: Simplify right side
    4,145.99x = 10,466,947.01
  5. Step 5: Solve for x
    x = 10,466,947.01/4,145.99
  6. Step 6: Final answer
    x = 2,524.60

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