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Finding the Fourth Proportional to 2,749.44, 3,793.98 and 1,630.18

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Solution

The fourth proportional to 2,749.44, 3,793.98 and 1,630.18 is: 2,249.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,749.44 : 3,793.98 = 1,630.18 : x
  2. Step 2: Convert to fraction form
    2,749.44/3,793.98 = 1,630.18/x
  3. Step 3: Cross multiply
    2,749.44x = 3,793.98 × 1,630.18
  4. Step 4: Simplify right side
    2,749.44x = 6,184,870.32
  5. Step 5: Solve for x
    x = 6,184,870.32/2,749.44
  6. Step 6: Final answer
    x = 2,249.50

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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.