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Finding the Fourth Proportional to 2,575.02, 3,862.46 and 627.20

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Solution

The fourth proportional to 2,575.02, 3,862.46 and 627.20 is: 940.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,575.02 : 3,862.46 = 627.20 : x
  2. Step 2: Convert to fraction form
    2,575.02/3,862.46 = 627.20/x
  3. Step 3: Cross multiply
    2,575.02x = 3,862.46 × 627.20
  4. Step 4: Simplify right side
    2,575.02x = 2,422,512.46
  5. Step 5: Solve for x
    x = 2,422,512.46/2,575.02
  6. Step 6: Final answer
    x = 940.77

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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.