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Finding the Fourth Proportional to 2,744.86, 4,118.82 and 1,100.96

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Solution

The fourth proportional to 2,744.86, 4,118.82 and 1,100.96 is: 1,652.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,744.86 : 4,118.82 = 1,100.96 : x
  2. Step 2: Convert to fraction form
    2,744.86/4,118.82 = 1,100.96/x
  3. Step 3: Cross multiply
    2,744.86x = 4,118.82 × 1,100.96
  4. Step 4: Simplify right side
    2,744.86x = 4,534,656.07
  5. Step 5: Solve for x
    x = 4,534,656.07/2,744.86
  6. Step 6: Final answer
    x = 1,652.05

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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.