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Finding the Fourth Proportional to 2,543.73, 3,815.46 and 669.57

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Solution

The fourth proportional to 2,543.73, 3,815.46 and 669.57 is: 1,004.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,543.73 : 3,815.46 = 669.57 : x
  2. Step 2: Convert to fraction form
    2,543.73/3,815.46 = 669.57/x
  3. Step 3: Cross multiply
    2,543.73x = 3,815.46 × 669.57
  4. Step 4: Simplify right side
    2,543.73x = 2,554,717.55
  5. Step 5: Solve for x
    x = 2,554,717.55/2,543.73
  6. Step 6: Final answer
    x = 1,004.32

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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.