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Finding the Fourth Proportional to 2,986.61, 4,121.60 and 1,806.99

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Solution

The fourth proportional to 2,986.61, 4,121.60 and 1,806.99 is: 2,493.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,986.61 : 4,121.60 = 1,806.99 : x
  2. Step 2: Convert to fraction form
    2,986.61/4,121.60 = 1,806.99/x
  3. Step 3: Cross multiply
    2,986.61x = 4,121.60 × 1,806.99
  4. Step 4: Simplify right side
    2,986.61x = 7,447,680.95
  5. Step 5: Solve for x
    x = 7,447,680.95/2,986.61
  6. Step 6: Final answer
    x = 2,493.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.