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Finding the Fourth Proportional to 2,743.61, 4,117.53 and 1,100.31

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Solution

The fourth proportional to 2,743.61, 4,117.53 and 1,100.31 is: 1,651.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,743.61 : 4,117.53 = 1,100.31 : x
  2. Step 2: Convert to fraction form
    2,743.61/4,117.53 = 1,100.31/x
  3. Step 3: Cross multiply
    2,743.61x = 4,117.53 × 1,100.31
  4. Step 4: Simplify right side
    2,743.61x = 4,530,559.43
  5. Step 5: Solve for x
    x = 4,530,559.43/2,743.61
  6. Step 6: Final answer
    x = 1,651.32

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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.