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Finding the Fourth Proportional to 2,414.96, 3,327.50 and 1,627.64

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Solution

The fourth proportional to 2,414.96, 3,327.50 and 1,627.64 is: 2,242.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,414.96 : 3,327.50 = 1,627.64 : x
  2. Step 2: Convert to fraction form
    2,414.96/3,327.50 = 1,627.64/x
  3. Step 3: Cross multiply
    2,414.96x = 3,327.50 × 1,627.64
  4. Step 4: Simplify right side
    2,414.96x = 5,415,972.10
  5. Step 5: Solve for x
    x = 5,415,972.10/2,414.96
  6. Step 6: Final answer
    x = 2,242.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.