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Finding the Fourth Proportional to 2,575.40, 3,863.10 and 627.62

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Solution

The fourth proportional to 2,575.40, 3,863.10 and 627.62 is: 941.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,575.40 : 3,863.10 = 627.62 : x
  2. Step 2: Convert to fraction form
    2,575.40/3,863.10 = 627.62/x
  3. Step 3: Cross multiply
    2,575.40x = 3,863.10 × 627.62
  4. Step 4: Simplify right side
    2,575.40x = 2,424,558.82
  5. Step 5: Solve for x
    x = 2,424,558.82/2,575.40
  6. Step 6: Final answer
    x = 941.43

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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.