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Finding the Fourth Proportional to 2,543.45, 3,810.56 and 2,534.22

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Solution

The fourth proportional to 2,543.45, 3,810.56 and 2,534.22 is: 3,796.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,543.45 : 3,810.56 = 2,534.22 : x
  2. Step 2: Convert to fraction form
    2,543.45/3,810.56 = 2,534.22/x
  3. Step 3: Cross multiply
    2,543.45x = 3,810.56 × 2,534.22
  4. Step 4: Simplify right side
    2,543.45x = 9,656,784.69
  5. Step 5: Solve for x
    x = 9,656,784.69/2,543.45
  6. Step 6: Final answer
    x = 3,796.73

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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.