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Finding the Fourth Proportional to 2,510.12, 3,766.02 and 1,211.42

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Solution

The fourth proportional to 2,510.12, 3,766.02 and 1,211.42 is: 1,817.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,510.12 : 3,766.02 = 1,211.42 : x
  2. Step 2: Convert to fraction form
    2,510.12/3,766.02 = 1,211.42/x
  3. Step 3: Cross multiply
    2,510.12x = 3,766.02 × 1,211.42
  4. Step 4: Simplify right side
    2,510.12x = 4,562,231.95
  5. Step 5: Solve for x
    x = 4,562,231.95/2,510.12
  6. Step 6: Final answer
    x = 1,817.54

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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.