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Finding the Fourth Proportional to 2,035.81, 3,051.15 and 1,109.44

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Solution

The fourth proportional to 2,035.81, 3,051.15 and 1,109.44 is: 1,662.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,035.81 : 3,051.15 = 1,109.44 : x
  2. Step 2: Convert to fraction form
    2,035.81/3,051.15 = 1,109.44/x
  3. Step 3: Cross multiply
    2,035.81x = 3,051.15 × 1,109.44
  4. Step 4: Simplify right side
    2,035.81x = 3,385,067.86
  5. Step 5: Solve for x
    x = 3,385,067.86/2,035.81
  6. Step 6: Final answer
    x = 1,662.76

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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.