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Finding the Fourth Proportional to 2,742.29, 3,784.42 and 1,622.82

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Solution

The fourth proportional to 2,742.29, 3,784.42 and 1,622.82 is: 2,239.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,742.29 : 3,784.42 = 1,622.82 : x
  2. Step 2: Convert to fraction form
    2,742.29/3,784.42 = 1,622.82/x
  3. Step 3: Cross multiply
    2,742.29x = 3,784.42 × 1,622.82
  4. Step 4: Simplify right side
    2,742.29x = 6,141,443.36
  5. Step 5: Solve for x
    x = 6,141,443.36/2,742.29
  6. Step 6: Final answer
    x = 2,239.53

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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.