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Finding the Fourth Proportional to 3,402.29, 5,103.94 and 1,842.51

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Solution

The fourth proportional to 3,402.29, 5,103.94 and 1,842.51 is: 2,764.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,402.29 : 5,103.94 = 1,842.51 : x
  2. Step 2: Convert to fraction form
    3,402.29/5,103.94 = 1,842.51/x
  3. Step 3: Cross multiply
    3,402.29x = 5,103.94 × 1,842.51
  4. Step 4: Simplify right side
    3,402.29x = 9,404,060.49
  5. Step 5: Solve for x
    x = 9,404,060.49/3,402.29
  6. Step 6: Final answer
    x = 2,764.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.