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Finding the Fourth Proportional to 2,543.46, 3,815.15 and 812.09

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Solution

The fourth proportional to 2,543.46, 3,815.15 and 812.09 is: 1,218.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,543.46 : 3,815.15 = 812.09 : x
  2. Step 2: Convert to fraction form
    2,543.46/3,815.15 = 812.09/x
  3. Step 3: Cross multiply
    2,543.46x = 3,815.15 × 812.09
  4. Step 4: Simplify right side
    2,543.46x = 3,098,222.03
  5. Step 5: Solve for x
    x = 3,098,222.03/2,543.46
  6. Step 6: Final answer
    x = 1,218.11

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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.