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Finding the Fourth Proportional to 1,842.07, 2,542.03 and 1,002.75

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Solution

The fourth proportional to 1,842.07, 2,542.03 and 1,002.75 is: 1,383.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,842.07 : 2,542.03 = 1,002.75 : x
  2. Step 2: Convert to fraction form
    1,842.07/2,542.03 = 1,002.75/x
  3. Step 3: Cross multiply
    1,842.07x = 2,542.03 × 1,002.75
  4. Step 4: Simplify right side
    1,842.07x = 2,549,020.58
  5. Step 5: Solve for x
    x = 2,549,020.58/1,842.07
  6. Step 6: Final answer
    x = 1,383.78

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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.