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Finding the Fourth Proportional to 2,986.07, 4,122.90 and 1,808.73

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Solution

The fourth proportional to 2,986.07, 4,122.90 and 1,808.73 is: 2,497.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,986.07 : 4,122.90 = 1,808.73 : x
  2. Step 2: Convert to fraction form
    2,986.07/4,122.90 = 1,808.73/x
  3. Step 3: Cross multiply
    2,986.07x = 4,122.90 × 1,808.73
  4. Step 4: Simplify right side
    2,986.07x = 7,457,212.92
  5. Step 5: Solve for x
    x = 7,457,212.92/2,986.07
  6. Step 6: Final answer
    x = 2,497.34

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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.