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Finding the Fourth Proportional to 2,510.99, 3,766.00 and 1,846.69

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Solution

The fourth proportional to 2,510.99, 3,766.00 and 1,846.69 is: 2,769.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,510.99 : 3,766.00 = 1,846.69 : x
  2. Step 2: Convert to fraction form
    2,510.99/3,766.00 = 1,846.69/x
  3. Step 3: Cross multiply
    2,510.99x = 3,766.00 × 1,846.69
  4. Step 4: Simplify right side
    2,510.99x = 6,954,631.97
  5. Step 5: Solve for x
    x = 6,954,631.97/2,510.99
  6. Step 6: Final answer
    x = 2,769.68

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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.