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Finding the Fourth Proportional to 2,494.43, 3,741.36 and 645.55

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Solution

The fourth proportional to 2,494.43, 3,741.36 and 645.55 is: 968.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,494.43 : 3,741.36 = 645.55 : x
  2. Step 2: Convert to fraction form
    2,494.43/3,741.36 = 645.55/x
  3. Step 3: Cross multiply
    2,494.43x = 3,741.36 × 645.55
  4. Step 4: Simplify right side
    2,494.43x = 2,415,234.95
  5. Step 5: Solve for x
    x = 2,415,234.95/2,494.43
  6. Step 6: Final answer
    x = 968.25

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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.