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Finding the Fourth Proportional to 2,098.46, 3,147.42 and 1,803.18

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Solution

The fourth proportional to 2,098.46, 3,147.42 and 1,803.18 is: 2,704.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,098.46 : 3,147.42 = 1,803.18 : x
  2. Step 2: Convert to fraction form
    2,098.46/3,147.42 = 1,803.18/x
  3. Step 3: Cross multiply
    2,098.46x = 3,147.42 × 1,803.18
  4. Step 4: Simplify right side
    2,098.46x = 5,675,364.80
  5. Step 5: Solve for x
    x = 5,675,364.80/2,098.46
  6. Step 6: Final answer
    x = 2,704.54

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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.