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Finding the Fourth Proportional to 2,061.03, 2,842.92 and 1,274.25

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Solution

The fourth proportional to 2,061.03, 2,842.92 and 1,274.25 is: 1,757.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,061.03 : 2,842.92 = 1,274.25 : x
  2. Step 2: Convert to fraction form
    2,061.03/2,842.92 = 1,274.25/x
  3. Step 3: Cross multiply
    2,061.03x = 2,842.92 × 1,274.25
  4. Step 4: Simplify right side
    2,061.03x = 3,622,590.81
  5. Step 5: Solve for x
    x = 3,622,590.81/2,061.03
  6. Step 6: Final answer
    x = 1,757.66

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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.