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Finding the Fourth Proportional to 2,627.41, 3,941.58 and 872.52

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Solution

The fourth proportional to 2,627.41, 3,941.58 and 872.52 is: 1,308.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,627.41 : 3,941.58 = 872.52 : x
  2. Step 2: Convert to fraction form
    2,627.41/3,941.58 = 872.52/x
  3. Step 3: Cross multiply
    2,627.41x = 3,941.58 × 872.52
  4. Step 4: Simplify right side
    2,627.41x = 3,439,107.38
  5. Step 5: Solve for x
    x = 3,439,107.38/2,627.41
  6. Step 6: Final answer
    x = 1,308.93

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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.