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Finding the Fourth Proportional to 2,057.82, 2,842.22 and 1,393.52

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Solution

The fourth proportional to 2,057.82, 2,842.22 and 1,393.52 is: 1,924.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,057.82 : 2,842.22 = 1,393.52 : x
  2. Step 2: Convert to fraction form
    2,057.82/2,842.22 = 1,393.52/x
  3. Step 3: Cross multiply
    2,057.82x = 2,842.22 × 1,393.52
  4. Step 4: Simplify right side
    2,057.82x = 3,960,669.24
  5. Step 5: Solve for x
    x = 3,960,669.24/2,057.82
  6. Step 6: Final answer
    x = 1,924.69

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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.