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Finding the Fourth Proportional to 2,722, 3,756.37 and 1,543.18

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Solution

The fourth proportional to 2,722, 3,756.37 and 1,543.18 is: 2,129.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,722 : 3,756.37 = 1,543.18 : x
  2. Step 2: Convert to fraction form
    2,722/3,756.37 = 1,543.18/x
  3. Step 3: Cross multiply
    2,722x = 3,756.37 × 1,543.18
  4. Step 4: Simplify right side
    2,722x = 5,796,747.34
  5. Step 5: Solve for x
    x = 5,796,747.34/2,722
  6. Step 6: Final answer
    x = 2,129.59

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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.