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Finding the Fourth Proportional to 2,742.22, 4,113.93 and 794.57

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Solution

The fourth proportional to 2,742.22, 4,113.93 and 794.57 is: 1,192.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,742.22 : 4,113.93 = 794.57 : x
  2. Step 2: Convert to fraction form
    2,742.22/4,113.93 = 794.57/x
  3. Step 3: Cross multiply
    2,742.22x = 4,113.93 × 794.57
  4. Step 4: Simplify right side
    2,742.22x = 3,268,805.36
  5. Step 5: Solve for x
    x = 3,268,805.36/2,742.22
  6. Step 6: Final answer
    x = 1,192.03

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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.