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Finding the Fourth Proportional to 1,842.68, 2,542.84 and 1,003.36

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Solution

The fourth proportional to 1,842.68, 2,542.84 and 1,003.36 is: 1,384.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,842.68 : 2,542.84 = 1,003.36 : x
  2. Step 2: Convert to fraction form
    1,842.68/2,542.84 = 1,003.36/x
  3. Step 3: Cross multiply
    1,842.68x = 2,542.84 × 1,003.36
  4. Step 4: Simplify right side
    1,842.68x = 2,551,383.94
  5. Step 5: Solve for x
    x = 2,551,383.94/1,842.68
  6. Step 6: Final answer
    x = 1,384.61

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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.