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Finding the Fourth Proportional to 2,543.72, 3,815.63 and 812.34

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Solution

The fourth proportional to 2,543.72, 3,815.63 and 812.34 is: 1,218.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,543.72 : 3,815.63 = 812.34 : x
  2. Step 2: Convert to fraction form
    2,543.72/3,815.63 = 812.34/x
  3. Step 3: Cross multiply
    2,543.72x = 3,815.63 × 812.34
  4. Step 4: Simplify right side
    2,543.72x = 3,099,584.81
  5. Step 5: Solve for x
    x = 3,099,584.81/2,543.72
  6. Step 6: Final answer
    x = 1,218.53

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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.