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Finding the Fourth Proportional to 2,575.37, 3,862.99 and 627.56

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Solution

The fourth proportional to 2,575.37, 3,862.99 and 627.56 is: 941.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,575.37 : 3,862.99 = 627.56 : x
  2. Step 2: Convert to fraction form
    2,575.37/3,862.99 = 627.56/x
  3. Step 3: Cross multiply
    2,575.37x = 3,862.99 × 627.56
  4. Step 4: Simplify right side
    2,575.37x = 2,424,258.00
  5. Step 5: Solve for x
    x = 2,424,258.00/2,575.37
  6. Step 6: Final answer
    x = 941.32

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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.