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Finding the Fourth Proportional to 2,742.39, 3,782.75 and 1,798.24

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Solution

The fourth proportional to 2,742.39, 3,782.75 and 1,798.24 is: 2,480.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,742.39 : 3,782.75 = 1,798.24 : x
  2. Step 2: Convert to fraction form
    2,742.39/3,782.75 = 1,798.24/x
  3. Step 3: Cross multiply
    2,742.39x = 3,782.75 × 1,798.24
  4. Step 4: Simplify right side
    2,742.39x = 6,802,282.90
  5. Step 5: Solve for x
    x = 6,802,282.90/2,742.39
  6. Step 6: Final answer
    x = 2,480.43

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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.