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Finding the Fourth Proportional to 2,493.09, 3,739.60 and 644.05

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Solution

The fourth proportional to 2,493.09, 3,739.60 and 644.05 is: 966.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,493.09 : 3,739.60 = 644.05 : x
  2. Step 2: Convert to fraction form
    2,493.09/3,739.60 = 644.05/x
  3. Step 3: Cross multiply
    2,493.09x = 3,739.60 × 644.05
  4. Step 4: Simplify right side
    2,493.09x = 2,408,494.86
  5. Step 5: Solve for x
    x = 2,408,494.86/2,493.09
  6. Step 6: Final answer
    x = 966.07

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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.