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Finding the Fourth Proportional to 2,575.60, 3,863.40 and 627.78

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Solution

The fourth proportional to 2,575.60, 3,863.40 and 627.78 is: 941.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,575.60 : 3,863.40 = 627.78 : x
  2. Step 2: Convert to fraction form
    2,575.60/3,863.40 = 627.78/x
  3. Step 3: Cross multiply
    2,575.60x = 3,863.40 × 627.78
  4. Step 4: Simplify right side
    2,575.60x = 2,425,365.25
  5. Step 5: Solve for x
    x = 2,425,365.25/2,575.60
  6. Step 6: Final answer
    x = 941.67

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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.