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Finding the Fourth Proportional to 2,741.52, 3,782.94 and 1,622.28

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Solution

The fourth proportional to 2,741.52, 3,782.94 and 1,622.28 is: 2,238.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,741.52 : 3,782.94 = 1,622.28 : x
  2. Step 2: Convert to fraction form
    2,741.52/3,782.94 = 1,622.28/x
  3. Step 3: Cross multiply
    2,741.52x = 3,782.94 × 1,622.28
  4. Step 4: Simplify right side
    2,741.52x = 6,136,987.90
  5. Step 5: Solve for x
    x = 6,136,987.90/2,741.52
  6. Step 6: Final answer
    x = 2,238.53

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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.